The Structure of Compact Groups: A Primer for the Student? A Handbook for the Expert

The Structure of Compact Groups: A Primer for the Student? A Handbook for the Expert

Volumn , Issue , 2023, Pages 1-1032

  Hofmann, Karl H ^a,b   Morris, Sidney A ^c,d  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

^b Tulane University   (United States)

^c LA TROBE UNIVERSITY   (Australia)

^d UNIVERSITY OF BALLARAT   (Australia)

Author keywords

Abelian Groups; Category Theory; Compact groups; Lie algebra; Topological groups

Indexed keywords

EID: 85176372006     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1515/9783110695991     Document Type: Book

References (403)

1. Abe, E., Hopf algebras, Cambridge Univ. Press, 1977.
2. Abian, A., The Theory of Sets and Transnite Arithmetic, Saunders, Philadelphia, London, 1965.
3. Adamek, J., H. Herrlich, and G. E. Strecker, Abstract and Concrete Categories, Wiley, New York, 1990.
4. Adams, F., Lectures on Lie Groups, W. A. Benjamin, New York, 1969.
5. Ageev, S. M., and D. Repovs, On extending actions of groups, Matematich- eski Sbornik 201 (2010), 159-182.
6. Ahdout, S., C Hurwitz, G. Itzkowitz, S. Rothman, and H. Strassberg, Maximal protori in compact connected topological groups, [Papers on general topology and applications (Amsterdam 1994),] Ann. New York Acad. Sci. 728 (1994), 227-236.
7. Akbarov, S. S., Pontryagin duality in the theory of topological vector spaces and in topological algebra, J. of Mathematical Sciences 113 (2003), 179-349.
8. André, A., L'homotopie des groupes abeliens localement compacts, Comment. Math. Helv. 38 (1963), 1-5.
9. Antonyan, S. A., Equivariant extension properties of coset spaces of locally compacty groups and approximate slices, Topol. Appl. 159 (2012), 2235-2247.
10. Antonyan, S. A., Characterizing maximal compact subgroups, Archiv d. Math. (Basel) 98 (2012), 555-560.
11. Antonyan, S. A., and T. Dobrowolski, Locally contractible coset spaces, Forum Math. 27 (2015), 2157-2175.
12. Arhangel'ski, A. V., On the relations between invariants of topological groups and their subspaces, Uspehi Mat. Nauk 35 (1980), 3-22; and Russian Math. Surveys 35 (1981), 1-23.
13. Arh'angelski, A. V., The principle of -approximation and a test for equality of dimensions of compact Hausdor spaces, Dokl. Acad. Nauk SSSR 252 (1980), 777-780: and Soviet Math. Dokl. 12 (1980), 805-809.
14. Arh'angelski, A. V, and L. S. Pontryagin, Eds., General Topology I, Springer-Verlag, Berlin etc., 1990.
15. Armacost, D. L., The Structure of Locally Compact Abelian Groups, M. Dekker, New York, 1981.
16. Auerbach, H., Sur les groupes lineaires bornes, Studia Math. 5 (1934), 43-49.
17. Banaschewski, B., Supercompactness, products and the axiom of choice, Kyungpook Math. J. 33 (1993), 111-114.
18. Banaszczyk, W., Additive Subgroups of Topological Vector Spaces, Lecture Notes in Math. 1466, Springer-Verlag, Berlin, 1991.
19. Banaszczyk, W., M. J. Chasco, and E. Martin-Peinador, Open subgroups and Pontryagin duality, Math. Z. 215 (1994), 195-204.
20. Bell, M. G., Not all compact Hausdor spaces are supercompact, General Topology and Appl. 8 (1978), 151-155.
21. Berglund, J. F., H. D. Junghenn, and P. Milnes, Analysis on Semigroups, Function Spaces, Compactications, Representations, Wiley, New York, 1989.
22. Bessaga, C., and A. Pelczyński, Selected Topics in Innite-Dimensional Topology, Polish Scientic Publishers, Warsaw, 1975.
23. Bickel, H., Lie-Projective Groups, J. of Lie Theory 5 (1995), 15-24.
24. Bogellmo, G., R. Dahmen, and A. Schmeding, Character groups of Hopf algebras as innite dimensional Lie groups, Ann. Inst. Fourier 66 (2016), 2101-2155.
25. Bogellmo, G., R. Dahmen, and A. Schmeding, Overview of (pro-)Lie group structures on Hopf algebra character groups, in: M. Barbero, K. Ebrahimi- Fard and D. Martin de Diego (Eds.), Discrete Mechanics, Geometric Integration and LieVButcher Series, Springer Proceedings in Mathematics & Statistics, 2017, Springer New York etc.
26. Bognár, M., Embedding of locally compact topological Abelian groups into Euclidean space, Translations Amer. Math. Soc. (2) 30 (1963), 345-349 (Russian Orig. in Uspechi Mat. Nauk 15 (1960), 133-136).
27. Bognár, M., On embedding of locally compact Abelian topological groups in Euclidean spaces I, Acta Math. Hung. 15 (51) (1988), 371-399.
28. Bognár, M., On embedding of locally compact Abelian topological groups in Euclidean spaces II, Acta Math. Hung. 15 (52) (1988), 101-131.
29. Bonglioli, A., and R. Fulci, Topics in Noncommutative Algebra, (The Theorem of Campbell, Baker, Hausdor and Dynkin) Lecture Notes in Mathematics 2034, Springer 2012.
30. Borel, A., Topology of Lie groups and characteristic classes, Bull. Amer. Math. Soc. 61 (1955), 397-432.
31. Borel, A., Sous-groupes commutatifs et torsion des groupes de Lie compacts connexes, Tohoko Math. J. (2) 13 (1961), 216-240.
32. Borel, A., Seminar on Transformation Groups, Annals of Math. Studies 46, Princeton Univ. Press, 1960.
33. Bosek, H., G. Czichowski, and K. Rudolph, "Analysis on Topological Groups|General Lie Theory," Teubner, Leipzig, 1981.
34. Bourbaki, N., Topologie générale, Chap. 1-4, Hermann, Paris, 1971.
35. Bourbaki, N., Topologie générale, Chap. 5-10, Hermann, Paris, 1974.
36. Bourbaki, N., Algèbre, Chap. 8, Modules et anneaux semisimples, Hermann, Paris, 1958.
37. Bourbaki, N., Commutative Algebra, Addison Wesley, Reading Mass., 1972.
38. Bourbaki, N., Intégration, Chap. 1, 2, 3, Hermann, Paris 1965.
39. Bourbaki, N., Intégration, Chap. 7 et 8, Hermann, Paris 1963.
40. Bourbaki, N., Théories spectrales, Hermann, Paris 1967.
41. Bourbaki, N., Espaces vectoriels topologiques, Hermann, Paris, 1973.
42. Bourbaki, N., Groupes et algèbres de Lie, Chap. 1, Hermann, Paris, 1971.
43. Bourbaki, N., Groupes et algèbres de Lie, Chap. 2 et 3, Hermann, Paris, 1972.
44. Bourbaki, N., Groupes et algèbres de Lie, Chap. 4, 5 et 6, Hermann, Paris, 1968.
45. Bourbaki, N., Groupes et algèbres de Lie, Chapitre 9, Masson, Paris, 1982.
46. Bourbaki, N., Variétés diérentielles et analytiques, fascicule de résultats, Diusion CCLS, Paris, 1983.
47. Bowman, T, E. Nummela, and K. Sigmon, Eds.. Second Florida Symposium on Automata and Semigroups, Part I and Part II, Dept. Math., Univ. of Florida, Gainesville, April 1971.
48. Braun, O., K. H. Hofmann, and L. Kramer, Automatic Continuity of Abstract Homomorphisms between Locally Compact and Polish Groups, Transformation Groups 25 (2020), 1-32..
49. 2.
50. 1], Proc. Amer. Math. Soc. 19 (1968), 396-398.
51. Bredon, G. E., Introduction to Compact Transformation Groups, Academic Press, New York etc., 1972.
52. Bredon, G. E., Topology and Geometry, Springer-Verlag, New York etc., 1993.
53. Brian, W. R., and M. W. Mislove, Every innite compact group can have a non-measurable subgroup, Topology Appl. 210, 144-146.
54. Brouwer, L. E. J., On the structure of perfect sets of points, Proc. Akad. Amsterdam 12 (1910), 785-794.
55. Brown, G., On commutators in a simple Lie algebra, Proc. Amer. Math. Soc. 14 (1963), 763-767.
56. Brown, R., P. J. Higgins, and S. A. Morris, Countable products and sums of lines and circles, Math. Proc. Cambridge Philos. Soc. 78 (1975), 19-32.
57. Brown, R., Topology: a Geometric Account of General Topology, Homotopy Types, and the Fundamental Groupoid, Halsted Press, New York, 1988.
58. Brocker, T., and T. tom Dieck, Representation Theory of Compact Lie Groups, Springer-Verlag, New York etc., 1985.
59. Carruth, H. J. A. Hildebrant, and R. J. Kock, I and II, The Theory of topological semigroups, Marcel Dekker, Inc., 1983, vi+244pp., resp., 1986, xii+195pp.
60. Chasco, M. J., and E. Martin-Peinador, Binz-Butzmann duality versus Pontryagin duality, Arch. Math. (Basel) 63 (1994), 264-270.
61. Chevalley, C., Theory of Lie Groups, Princeton Univ. Press, Princeton, 1946.
62. Chevalley, C., Théorie de groupes de Lie, Groupes algébriques, théorèmes généraux sur les algèbres de Lie, Hermann, Paris, 1968.
63. Chigogidze, A., K. H. Hofmann, and J. Martin, Fixed point sets of autohomeomorphisms of metric compact groups, Trans. Amer. Math. Soc. 394 (1997), 4537-4554.
64. Chow, H. L., On compact ane semigroups, Semigroup Forum 11 (1975), 146-152.
65. Cliord, A. H., and G. B. Preston, The Algebraic Theory of Semigroups I, Amer. Math. Soc., Providence, R. I., 1961.
66. Cohen, P. J., The independence of the continuum hypothesis, Part I, II, Proc. National Acad. Sci. USA 50 (1963), 1143-1148, and ibid. 51 (1964), 105-110.
67. Cohen, P. J., Set Theory and the Continuum Hypothesis, W. A. Benjamin, New York, 1966.
68. Cohn, P. M., Algebra I, Wiley, London, 1974.
69. Cohn, P. M., Algebra II, Wiley, London, 1977.
70. Comfort, W. W., A survey of cardinal invariants, General Topology Appl. 1(1971), 163-199.
71. Comfort, W. W., Topological Groups, Chapter 24 in: K. Kunen and J. E. Vaughan (eds.), Handbook of Set-Theoretic Topology, North Holland, Amsterdam, 1984.
72. Comfort, W. W., and A. W. Hager, Estimates for the number of real-valued continuous functions, Trans. Amer. Math. Soc. 150 (1970), 619-631.
73. Comfort, W. W., K. H. Hofmann, and D. Remus, Topological Groups and Semigroups, in: M. Husek and J. van Mill, Eds., Recent Progress in General Topology, Elsevier Science Publishers, B. V., Amsterdam etc., 1992, 57-144.
74. Comfort, W. W., and G. L. Itzkowitz, Density character in topological groups, Math. Ann. 226 (1977), 223-227.
75. Comfort, W. W., and J. van Mill, On the existence of free topological groups, Topology Appl. 29 (1988), 245-265.
76. Comfort, W. W., S. A. Morris, D. Robbie, S. Svetlichny and M. Tkachenko, Suitable sets for topological groups, Topology Appl. 86 (1998), 25-46.
77. Comfort, W. W., S. U. Raczkowski, and F. J. Trigos-Arrieta, Making group topologies with, and without, convergent sequences, J. Appl. Gen. Topol. 7 (2006), 109-124.
78. Curtis, C. W., and I. Reiner, Representation theory of nite groups and associative algebras, Pure and Applied Mathematics, Vol. XI, Interscience Publishers, a division of John Wiley & Sons, New York, 1962.
79. Dahmen, R., Tensor Products of Weakly Complete Topological Vector Spaces, Diplomarbeit am Fachbereich Mathematik der Technischen Universität Darmstadt 230, 2007, 66pp.
80. 0 of a Pro-Lie Group G, J. of Lie Theory 29 (2019), 221-225.
81. Dahmen, R., and K. H. Hofmann, The Pro-Lie Group Aspect of Weakly Complete Algebras and Weakly Complete Group Hopf Algebras, J. of Lie Theory 29 (2019), 413-455.
82. D'Andrea, A., and A. Maei, Commutators of small elements in compact semisimple Lie groups and Lie algebras, J. Lie Theory 26 (2016), 683-690.
83. Dauns, J., A Concrete Approach to Division Rings, Heldermann Verlag, Berlin, 1982.
84. de Groot, J., Supercompactness and superextensions, in: J. Flachsmeyer, H. Poppe and F. Terpe, Eds., Contributions to extension theory of topological structures. Proceedings of the Symposium held in Berlin, August 1419, 1967. VEB Deutscher Verlag der Wissenschaften, Berlin 1969, 89-90.
85. Deligne, P., Catégories tannakiennes, in: Grothendieck Festschrift, Band 2, in: Prog. Math 87 (1990), 111-195.
86. Dikranjan, D. N., I. R. Prodanov, and L. N. Stoyanov, Topological Groups: Dualities and Minimal Group Topologies, Marcel Dekker Inc., New York, Basel, 1989.
87. Dikranjan, D., D. Shakhmatov, Metrization criteria for compact groups in terms of their dense subgroups, Fund. Math. 221 (2013), 161-187.
88. Dikranjan, D., D. Shakhmatov, Weight of closed subsets topological ly generating a compact group, Math. Nachr. 280 (2007), 505-522.
89. Dixmier, J., Quelques propriétés des groupes abéliens localement compacts, Bull. Sci. Math. (2) 81 (1957), 38-48.
90. ème éd., Gauthier- Villars, Paris, 1969.
91. Dixmier, J., Enveloping Algebras, North Holland Mathematical Studies, 1977.
92. Djoković, D. Ž., An elementary proof of the Baker-Campbell-Hausdor-Dynkin Formula, Math. Z. 143 (1975), 209-211.
93. 2.
94. Doplicher, S., and J. E. Roberts, A new duality theory for compact groups, Inventiones Math. 98 (1989), 157-218.
95. Douady, A., Cohomologie des groupes compacts totalement discontinus, Seminaire Bourbaki 1959/60, Exposé 189, Secrétariat Math., Paris, 1960; reprint, Benjamin, New York, 1966.
96. Dugundji, J., Topology, Allyn and Bacon, Boston, 1966.
97. Duistermaat, J. J., and J. A. Kolk, Lie Groups, Springer-Verlag, Berlin etc., 2000, viii+344pp.
98. Dunford, N., and J. T. Schwartz, Linear Operators Part I: General Theory, Interscience Publishers Inc., New York, 1958.
99. Eros, E. G., Transformation groups and C*-algebras, Ann. Math. 81 (1965), 38-65.
100. Eilenberg, S., and N. Steenrod, Foundations of Algebraic Topology, Princeton University Press, 1952.
101. Eisner, T., B. Farkas, M. Haase, and R. Nagel, Operator Theoretic Aspects of Ergodic Theory, Graduate Texts in Mathematics, Springer, New York, 2014..
102. Eklof, P. C. Whitehead's Problem is undecidable, Amer. Math. Monthly 83 (1976), 775-788.
103. Eklof, P. C., and A. H. Mekler, Almost free modules: set theoretic methods, North Holland, Amsterdam etc., 1990.
104. Engelking, R. D., General Topology, Polish Sci. Publ., Warsaw, 1977.
105. Engelking, R. D. General Topology, revised and completed edition, Heldermann Verlag, Berlin, 1989.
106. Engelking, R. D., Topology: A Geometric Approach, Heldermann Verlag, Berlin, 1992.
107. Engelking, R. D., Dimension Theory, North Holland, Amsterdam, 1978.
108. Enochs, E. E., Homotopy groups of compact abelian groups, Proc. Amer. Math. Soc. 15 (1964), 878-881.
109. Enock, M., and J.-M. Schwartz, Kac Algebras and Duality of Locally Compact Groups, Springer-Verlag Heidelberg etc., 1992.
110. Epstein, D. B. A., Almost all subgroups of a Lie group are free, J. Algebra 19 (1971), 261-262.
111. Ernest, J., A strong duality theorem for separable locally compact groups, Trans. Amer. Math. Soc. 156 (1971), 287-307.
112. Fay, T., E. Oxford, and G. Wells, Preradicals in abeian groups, Houston J. Math. 8 (1982), 39-52.
113. Fedorchuk, V. V., The Fundamentals of Dimension Theory, in Arkhangel'- skii, A. V., and L. S. Pontryagin Eds., General Topology I, Springer-Verlag, Berlin etc., 1990.
114. French, W. P., J. Luukkainen, and J. F. Price, The Tannaka Krein Duality Principle, Advances in Math. 43 (1982), 230-249.
115. Freudenthal, H., and H. de Vries, Linear Lie Groups, Academic Press, New York, London, 1969.
116. Freyd, P., Abelian Categories; An Introduction to the Theory of Functors, Harper and Row, New York, 1964.
117. Fuchs, L., Abelian Groups, Publishing House Hungarian Academy Sci., Budapest, 1958.
118. Fuchs, L., Innite Abelian groups I, Academic Press, New York, 1970.
119. Fuchs, L., Innite Abelian groups II, Academic Press, New York, 1973.
120. N, e-mail to the rst author, dated February 26, 1996.
121. Fuchs, L., Notes on the Whitehead Problem, Unpublished Lecture Notes, 1996.
122. Fulton, W., Algebraic Topology, Springer-Verlag, New York etc., 1995.
123. Gartside, P. and A. Glyn, Autohomeomorphism groups, Topology Appl. 129 (2003), 103-110.
124. George Michael, A. A., On three classical results on compact groups, Scientiae Mathematicae Japonica Online, e-2011, 271-273.
125. George Michael, A. A., On Locally Contractible Homogeneous Spaces, submitted, 2012.
126. Gierz, G., K. H. Hofmann, M. W. Mislove, J. D. Lawson, K. Keimel, and D. S. Scott, A Compendium of Continuous Lattices, Springer-Verlag, Berlin etc., 1980.
127. Gierz, G., K. H. Hofmann, M. W. Mislove, J. D. Lawson, K. Keimel, and D. S. Scott, Continuous Lattices and Domains, Cambridge University Press. Second and thoroughly revised edition of item [125] above. Encyclopedia of Mathematics and its Applications 93, Cambridge Univ. Press 2003, xxxvi+591pp.
128. Gillman, L., and M. Jerison, Rings of Continuous Functions, SpringerVerlag, New York etc., 1976.
129. Gilmore, R., Lie Groups, Lie Algebras, and some of their Applications, John Wiley, New York etc., 1962.
130. Gluskov, V. M., Structure of locally bicompact groups and Hilbert's fth problem, Uspehi Mat. Nauk (N.S.) 12 (1957), no. 2 (74), 3-41. Translated as: The structure of locally compact groups and Hilbert's fth problem, Amer. Math. Soc. Transl. (2) 15 (1960), 55-93.
131. Goto, M., A Theorem on compact semi-simple groups, J. Math. Soc. Japan 1 (1949), 270-272.
132. Gotoo, M., On an arcwise connected subgroup of a Lie group, Proc. Amer. Math. Soc 20 (1969), 157-162.
133. Graetzer, G., Universal Algebra, Van Nostrand, Princeton, 1968.
134. Graev, M. I., Free topological groups, (Russian) Izv. Acad. Nauk SSSR Ser. Mat. 12 (1948), 279-324; and Amer. Math. Soc. Transl. 35 (1951); and Reprint Amer. Soc. Transl. 8 (1) (1962), 305-364.
135. Grith, P. A., Innite Abelian Group Theory, Univ. Chicago Press, Chicago, London, 1970.
136. Grosser, S. and Moskowitz, M. Compactness conditions nin topological groups, J. Reine Angew. Math. 246 (1971), 1-40.
137. Hall, C. E., Projective topological groups, Proc. Amer. Math. Soc. 18 (1967), 425-431.
138. Hall, C. E., F-projective objects, Proc. Amer. Math. Soc. 26 (1970), 193-195.
139. Hall, M., Jr., The Theory of Groups, Macmillan, New York, 1964.
140. Halmos, P. R., Finite Dimensional Vector Spaces, D. van Nostrand, Princeton, New Jersey, 1958.
141. Halmos, P. R., Naive Set Theory, D. van Nostrand, Princeton, New Jersey, 1960.
142. Hausdor, F., Grundzuige der Mengenlehre, Berlin, 1914, Reprint Chelsea, New York, 1965.
143. Hawkins, T., Jacobi and the birth of Lie's theory of groups, Archive for History of Exact Sciences 42 (1991), 187-278.
144. Hazewinkel, M., N. Gubareni, and V. V. Kirichenko, Lie Algebras and Hopf Algebras, Math. Surveys and Monographs 168, Amer. Math. Soc., Providence, R.I., 2010.
145. Heil, J., Lokal kompakte Gruppen und schwach vollstiandige Vektorriaume, Diplom Thesis, Technische Hochschule Darmstadt, 1997.
146. Helgason, S., Dierential Geometry, Lie Groups, and Symmetric Spaces, Academic Press, New York, 1978.
147. Herfort, W., The Abelian Subgroup Conjecture: A Counter Example J. of Lie Theory 12 (2002), 305-308.
148. Herfort, W., K. H. Hofmann, and F. G. Russo, Locally Compact Periodic Groups, de Gruyter Studies in Mathematics, 2018, liii+301pp. de Gruyter, Berlin.
149. Hernández, The dimension of an LCA group in its Bohr topology, Topology and its Applications 86 (1998), 63-67.
150. Hernández, S., K. H. Hofmann, and S. A. Morris, The weights of closed subgroups of a locally compact group, J. Group Theory 15 (2012), 613-630.
151. Hernández, S., K. H. Hofmann, and S. A. Morris, Nonmeasurable subgroups of compact groups, J. Group Theory 19 (2016), 179-189.
152. Hernández, S., D. Remus, and F. Javier Trigos-Arrieta, Contributions to the Bohr topology by W.W. Comfort, Topol. Appl. 219 (2019), 28-39.
153. Herrlich, H., and H.-E. Porst, Category Theory at Work, (with cartoons by M. Erné) Heldermann Verlag, Berlin, 1991.
154. Heunen, C., and A. Cornell, Axioms for the category of Hilbert spaces, Proc. Nat. Acad. Sc. 119 (2022), 5pp..
155. Hewitt, E., and K. A. Ross, Abstract Harmonic Analysis I, Springer-Verlag Berlin etc., 1963.
156. Hewitt, E., and K. A. Ross, The Tannaka-Krein Duality Theorems, Jahresbericht DMV 71 (1969), 61-83.
157. Hewitt, E., and K. A. Ross, Abstract Harmonic Analysis II, SpringerVerlag, New York etc., 1970.
158. Heyer, H., Dualität lokal kompakter Gruppen, Lecture Notes in Math. 150, Springer-Verlag, New York etc., 1970.
159. Higgins, P. J., Categories and Groupoids, Van Nostrand Reinhold, London etc., 1971.
160. Higgins, P. J., Introduction to Topological Groups, Cambridge Univ. Press, London etc., 1974.
161. Hilgert, J., and K.-H. Neeb, Lie-Gruppen und Lie-Algebren, Vieweg, Braunschweig, 1991.
162. Hilgert, J., and K.-H. Neeb, Structure and Geometry of Lie Groups, Springer Monographs in Mathematics, New York etc., 2012.
163. Hochschild, G. P., The Structure of Lie groups, Holden-Day, Inc., San Francisco, London, Amsterdam, 1965.
164. Hochschild, G. P., Introduction to Ane Algebraic Groups, Holden-Day, Inc., San Francisco, Cambridge, London, Amsterdam, 1971.
165. Hochschild, G. P., Basic Theory of Algebraic Groups and Lie Algebras, Springer-Verlag, New York etc., 1981.
166. Hofmann, K. H., Introduction to Compact Groups I, II, Lecture Notes, Tulane University, New Orleans, 1966-67 and 1968-69.
167. Hofmann, K. H., Categories with convergence, exponential functors and the cohomology of compact abelian groups, Math. Z. 104 (1968), 106-140.
168. Hofmann, K. H., Finite dimensional submodules of G-modules for a compact group, Math. Proc. Cambridge Philos. Soc. 69 (1969), 47-52.
169. Hofmann, K. H., A general invariant metrization theorem for compact spaces, Fundamenta Math. 68 (1970), 281-296.
170. Hofmann, K. H., Automorphic Actions of Compact Groups, in: T. Bow- mann, E. Nummela, and K. Sigmon Eds., 2nd Florida Symposium on Automata and Semigroups, Dept. of Math., Univ. of Florida, Gainesville, FL., 1971, Part II, and Preprints and Lecture Notes in Mathematics, Tulane University, May 1971, 53pp.
171. Hofmann, K. H., The Duality of Compact Semigroups and C*-Bigebras, Lecture Notes in Mathematics 129, Springer-Verlag Berlin, Heidelberg, New York, 1970.
172. Hofmann, K. H., Die Formel von Campbell, Hausdor und Dynkin und die Denition Liescher Gruppen, in: Theory of Sets and Topology, Deutscher Verlag der Wissenschaften, Berlin, 1972, 417-424.
173. Hofmann, K. H., Théorie directe des groupes de Lie I-IV, Séminaire Dubreil (Algèbre) 27me année, 1973-74, no. 1, no. 2., no. 3, no. 4.; Sécrétariat mathématique, Paris.
174. Hofmann, K. H., Analytic groups without analysis, Symposia Mathematica 16 (1975), 357-374.
175. Hofmann, K. H., Sur la décomposition semidirecte des groupes compacts connexes, Symposia Mathematica 16 (1975), 471-476.
176. Hofmann, K. H., An essay on free compact groups, Lecture Notes in Math. 915 (1982), 171-197.
177. Hofmann, K. H., Compact Groups: Lectures and Labs, Lecture Notes, Technische Hochschule Darmstadt, 1989.
178. Hofmann, K. H., The Category Theoretical Foundations of Hopf Algebras, Lecture Notes, Technische Hochschule Darmstadt, 1993.
179. Hofmann, K. H., Arc components of locally compact groups are Borel sets, Bull. Austr. Math. Soc. 65 (2002), 1-8.
180. Hofmann, K. H., and L. Kramer, Transitive actions of locally compact groups on locally contractible spaces, J. f. d. reine u. angewandte Mathematik 702 (2015), 227-243, Erratum to Transitive actions of locally compact groups on local ly contractible spaces, J. f. d. reine u. angewandte Mathematik 702 (2015), 245-246.
181. Hofmann, K. H., and L. Kramer, On Weakly Complete Group Algebras of Compact Groups, J. of Lie Theory 30 (2020), 407-424.
182. Hofmann, K. H., and L. Kramer, On Weakly Complete Universal Enveloping Algebras: A Poincaré-Birko-Witt Theorem J. of Lie Theory 32 (2022), 1-48.
183. Hofmann, K. H., and J. D. Lawson, Free pronite groups have trivial center, Technische Hochschule Darmstadt, Preprint Nr. 565, Oktober 1980.
184. Hofmann, K. H., and J. Martin, G-spaces and xed point sets, Geometriae Dedicata 83 (2000), 39-61.
185. Hofmann, K. H., and M. W. Mislove, On the xed point set of a compact transformation group with some applications to compact monoids, Trans. Amer. Math. Soc. 206 (1975), 137-162.
186. Hofmann, K. H., and M. W. Mislove, Compact Ane Monoids, Harmonic Analysis, and Information Theory, Proc. Symposia in Applied Math. 71, Amer. Math. Soc. 2012, 125-182.
187. Hofmann, K. H., and S. A. Morris, Free compact groups I: Free compact abelian groups, Topology Appl. 23 (1986), 41-64, and Errata, ibidem 28 (1988), 101-102.
188. Hofmann, K. H., and S. A. Morris, Free compact groups II: The center, Topology Appl. 28 (1988), 215-231.
189. Hofmann, K. H., and S. A. Morris, Free compact groups III: Free semisimple compact groups, in: Proc. CAT. TOP. Conf. Prague August 1989, J. Adamek and S. Mac Lane, Eds., World Scient. Publ., Singapore, 1989, 208-219.
190. Hofmann, K. H., and S. A. Morris, Weight and c, J. Pure Appl. Algebra 68 (1990), 181-194.
191. Hofmann, K. H., and S. A. Morris, Free compact groups IV: Splitting the component and the structure of the commutator group, J. Pure Appl. Algebra 70 (1991), 89-96.
192. Hofmann, K. H., and S. A. Morris, Free compact groups V: Remarks on projectivity, in: Category Theory at Work, Eds.: H. Herrlich and H.-E. Porst, Heldermann Verlag Berlin, 1991, 177-198.
193. Hofmann, K. H., and S. A. Morris, Generators on the arc component of compact connected groups, Math. Proc. Cambridge Philos. Soc. 113 (1993), 479-486.
194. Hofmann, K. H., and S. A. Morris, Transitive actions of compact groups and topological dimension, Journal of Algebra 234 (2000), 454-479.
195. Hofmann, K. H., and S. A. Morris, A structure theorem on compact groups, Math. Proc. Camb. Phil. Soc. 130 (2001), 409-426.
196. Hofmann, K. H., and S. A. Morris, Compact groups with large abelian subgroups, Math. Proc. Camb. Phil. Soc. 133 (2002), 235-247.
197. Hofmann, K. H., and S. A. Morris, The Lie Theory of Connected ProLie Groups-A Structure Theory for Pro-Lie Algebras, Pro-Lie Groups, and Connected Locally Compact Groups, European Mathematical Society Publishing House, 2006, xii+663pp.
198. Hofmann, K. H., and S. A. Morris, The Structure of Pro-Lie Groups, EMS Press, Berlin, 2023, xv+839pp.
199. Hofmann, K. H., and S. A. Morris, The Structure of almost connected proLie groups, J. of Lie Theory 21 (2011), 347-383.
200. Hofmann, K. H., and S. A. Morris, Local Splitting of Locally Compact Groups and Pro-Lie Groups, J. of Group Theory 14 (2011), 931-935.
201. Hofmann, K. H., and S. A. Morris, Compact Homeomorphism Groups are Pronite, Topology and its Applications 9 (2012), 2453-2462.
202. Hofmann, K. H., and S. A. Morris, Pro-Lie Groups: A Survey with Open Problems, Axioms 4 (2016), 294-312.
203. Hofmann, K. H., and S. A. Morris, Advances in the Theory of Compact Groups and Pro-Lie Groups in the last Quarter Century, Axioms 10(3), 2021, 190 (13 pp.)..
204. Hofmann K. H., S. A Morris, and D. Poguntke, The exponential function of locally connected compact abelian groups, Forum Mathematicum 16 (2004), 1-16.
205. Hofmann, K. H., S. A. Morris, and M. Stroppel Locally compact groups, residual Lie groups, and varieties generated by Lie groups, Topology Appl. 20 (1996), 1-29.
206. Hofmann, K. H., and P. S. Mostert, Splitting in Topological Groups, Mem. Amer. Math. Soc. 43, 1963.
207. Hofmann, K. H., and P. S. Mostert, Elements of Compact Semigroups, Charles E. Merrill, Columbus (Ohio), 1966.
208. Hofmann, K. H., and P. S. Mostert, The cohomology of compact abelian groups, Bull. Amer. Math. Soc. 74 (1968), 975-978.
209. Hofmann, K. H., and P. S. Mostert, Cohomology theories for compact abelian groups, VEB Deutscher Verlag der Wissenschaften, Berlin, 1973, reprinted by Springer-Verlag, Berlin.
210. Hofmann, K. H., and P. S. Mostert, Compact groups acting with (n - 1)- dimensional orbits on subspaces of n-manifolds, Math. Ann. 167 (1966), 224-239.
211. Hofmann, K. H., and K.-H. Neeb, Epimorphisms of C*-algebras are epimorphisms, Arch. Math. (Basel) 35 (1995), 134-137.
212. Hofmann, K. H., and W. A. F. Ruppert, Lie Groups and Subsemigroups with Surjective Exponential Function, Mem. Amer. Math. Soc. 130 (1997).
213. Hofmann, K. H., and F. G. Russo, The probability that x and y commute in a compact group, Math. Proc. Cambridge Philos. Soc. 153 (2012), 557-571.
214. n commute in a compact group, Bull. Austral. Math. Soc. 87 (2012), 503-513.
215. Hofmann, K. H., T. S. Wu, and J. S. Yang, Equidimensional immersions of locally compact groups, Math. Proc. Cambridge Philos. Soc. 105 (1989), 253-261.
216. Hopf, H., Über die Topologie der Gruppen-Mannigfaltigkeiten und ihrer Verallgemeinerungen, Ann. of Math. 42 (1941), 22-52.
217. Huber, P. J., Homotopical cohomology and Cech cohomology, Math. Ann. 144 (1961), 73-76.
218. Humphreys, J. E., Introduction to Lie Algebras and Representation Theory, Springer-Verlag, New York etc., 1972.
219. Hunt, G. A., A theorem of Élie Cartan, Proc. Amer. Math. Soc. 7 (1956), 307-308.
220. Huppert, B., Endliche Gruppen I, Springer-Verlag, Berlin etc., 1967.
221. Hurewicz, W., and H. Wallman, Dimension Theory, Princeton University Press, Princeton, 1948.
222. Husain, T., Introduction to Topological Groups, W. B. Saunders, Philadelphia, London, 1966.
223. Isbell, J., Epimorphisms and dominions, In: Proceedings of the Conference on Categorical Algebra, La Jolla 1965, Eilenberg, S. et al., eds., SpringerVerlag, Berlin etc., 1966, 232-246.
224. Itzkowitz, G. L., On the density character of compact topological groups, Fundamenta Math. 75 (1972), 201-203.
225. Itzkowitz, G., and D. Shakhmatov, Dense countably compact subgroups of compact groups, Mathematica Japonica 45 (1997), 497-501.
226. Itzkowitz, G., and D. Shakhmatov, Haar nonmeasurable partitions of compact groups, Tsukuba Journal of Mathematics 21 (1997), 251-262.
227. Itzkowitz, G., and Ta Sun Wu, Iwasawa-type decomposition in compact groups [Papers on general topology and applications (Amsterdam 1994)], Ann. New York Acad. Sci. 788 (1996), 138-146.
228. Iwasawa, K., On some types of topological groups, Ann. of Math. 50 (1949), 507-558.
229. Jacobson, N., The Theory of Rings, Amer. Math. Soc. Surveys 11, 1943.
230. Jacobson, N., The Structure of Rings, Amer. Math. Soc. Colloq. Publ. 37, 1956, 1964, 1984.
231. Jacobson, N., Lie Algebras, Interscience, New York etc., 1962.
232. Jech, T., Set Theory, Academic Press, New York etc., 1978.
233. Jensen, R. B., The ne structure of the constructible hierarchy, Ann. Math. Logic 4 (1972), 229-308.
234. Joiner, C., Free topological groups and dimension, Trans. Amer. Math. Soc. 220 (1976), 401-418.
235. Joyal, A., and R. Street, An introduction to Tannaka duality and quantum groups, in: A. Carboni, M. C. Pedicchio, and G. Roslini, Eds., Lecture Notes in Math. 1488, Springer-Verl. Berlin etc., 1991, 411-492.
236. Kampen, D. R. van, Locally bicompact abelian groups and their character groups, Ann. of Math. (2) 36 (1935), 448-463.
237. Kaplan, S., Extensions of Pontryagin duality I: Infinite products, Duke Math. J. 15 (1948), 649-658.
238. Kaplan, S., Extensions of Pontryagin duality II: Direct and inverse sequences, Duke Math. J. 17 (1950), 419-435.
239. Kaplansky, I., Innite Abelian Groups, Michigan Univ. Press, Ann Arbor, 1967.
240. Kaplansky, I., Lie Algebras and Locally Compact Groups, Univ. Chicago Press, Chicago, 1971.
241. Kelley, J. L., General Topology, D. van Nostrand, Princeton, New Jersey, 1966.
242. Knopp, K., Theorie und Anwendung der unendlichen Reihen, SpringerVerlag, Berlin etc., 1964.
243. Krein, M. G., A principle of duality for a bicompact group and square block algebra, Doklady Akad. Nauk SSSR 69 (1949), 725-728.
244. Kruse, A. H., Badly incomplete normed linear spaces, Math. Z. 83 (1964), 314-320.
245. Kubis, W., and S. Turek, A decomposition theorem for compact groups with an application to supercompactness, Cent. Eur. J. Math. 9 (2011), 593-602.
246. Kuranishi, M., Two element generations on semi-simple Lie groups, Kodai Math. Sem. Rep. (1949), 9-10.
247. Kuz'minov, V., On a hypothesis of P.S. Alexandroff in the theory of topological groups, Dokl. Akad. Nauk SSSR (N.S.) 125, 727-729.
248. Lang, S., Dierentiable Manifolds, Springer-Verlag, New York etc., 1985.
249. Lee, D. H., Supplements for the identity component in locally compact groups, Math. Z. 104 (1968), 28-49.
250. Lee. D. H., The Structure of Complex Lie Groups, Chapman and Hall/CRC, London etc., 2002, x+218pp.
251. Leiderman, A.G., and S.A. Morris, Separability of topological groups: a survey with open questions, Axioms 8 (2019), 18pp.
252. Leptin, H., Zur Dualitätstheorie projektiver Limites abelscher Gruppen, Abh. Math. Sem. Univ. Hamburg 19 (1955), 264-268.
253. Luminet, D., and A. Valette, Faithful uniformly continuous representations of Lie groups, J. London Math. Soc. 49 (1994), 100-108.
254. Lyubich, Y. I., Introduction to the Theory of Banach Representations of Groups; translated from Russian by A. Jacob, Birkhäuser Verlag, Boston, 1988,.
255. Mackenzie, K., Lie Groupoids and Lie Algebroids in Dierential Geometry, Cambridge Univ. Press, Cambridge etc, 1987.
256. MacLane, S., Homology, Springer-Verlag, New York etc., 1963.
257. MacLane, S., Categorical algebra, Bull. Amer. Math. Soc. 71 (1965), 40-106.
258. MacLane, S., Categories for the Working Mathematician, Springer-Verlag, New York etc., 1971.
259. MacLane, S., The Milgram bar construction as a tensor product of functors, in: Lecture Notes in Math. 168, Springer-Verlag, Heidelberg, 1971, 135-152.
260. Madison, B., Semigroups on coset spaces, Duke Math. J. 36 (1969), 61-63.
261. Maier, D., Realizations of Dynamical Systems with Discrete Spectrum, Dissertation, Mathematisch-Naturwissenschaftliche Fakultät der Universität Tübingen, 2013, vi+79pp.
262. Malkoun, J. and N., Nahlus, Commutators and Cartan subalgebras in Lie algebras of compact semisimple Lie Groups, J. Lie Theory 27 (2017), 1027-1032.
263. Markov, A. A., On free topological groups, Bull. Acad. Sci. URSS Ser. Mat. (Izv. Akad. Nauk SSSR) 9 (1945), 3-64; and Amer. Math. Soc. Transl. 30 (1950), 11-88; and Reprint Amer. Math. Soc. Transl. (1) 8 (1962), 195-272.
264. Martin-Peinador, E., A reexive admissible topological group must be locally compact, Proc. Amer. Math. Soc. 123 (1995), 3563-3566.
265. Mel'nikov, O. V., Normal subgroups of free profinite groups, Math. USSR Izvestija, 12 (1978), 1-20.
266. Mel'nikov, O. V., Charakterisaziya dostischimikh podgrupp svobodich prokonechnikh grupp, Dokl. Akad. Nauk BSSR 22 (1978), 677-680.
267. Mel'nikov, O. V., Projektivnie predeli svobodnich prokonechnikh grupp, Dokl. Acad. Nauk BSSR, 24 (1980), 968-971.
268. Michael, A. Adel George, On three classical results on compact groups, Scientiae Mathematicae Japonica Online e-2011, 271-273.
269. Michaelis, W., Coassociative Coalgebras, in: M. Hazewinkel, Ed., Handbook of Algebra 3, Elsevier, Amsterdam etc., 2003, 587-788.
270. Mills, C. F., A simpler proof that compact metric spaces are supercompact, Proc. Amer. Math. Soc. 73 (1979), 388-390.
271. Mills, C. F., Compact groups are supercompact, Seminar Report, Free Univ. of Amsterdam, Sept. 1978.
272. Milnor, J. W., and J. C. Moore, On the structure of Hopf algebras, Ann. of Math. 81 (1965), 211-264.
273. Mimura, M., Homotopy Theory of Lie Groups, in: I. M. James, Ed., Handbook of Algebraic Topology, Elsevier, Amsterdam, 1995.
274. Montgomery, D., and L. Zippin, Topological Transformation Groups, Interscience Publishers, New York, 1955.
275. Morris, S. A., Free compact abelian groups, Mat. C asopis Sloven. Akad. Vied. 22 (1972), 141-147.
276. Morris, S. A., Quotient groups of topological groups with no small subgroups, Proc. Amer. Math. Soc. 31 (1972), 625-626.
277. Morris, S. A., Varieties of topological groups generated by maximally almost periodic groups, Colloq. Math. 28 (1973), 47-50.
278. Morris, S. A., Varieties of topological groups and left adjoint functors, J. Austral. Math. Soc. 16 (1973), 220-227.
279. Morris, S. A., Local compactness and free products of topological groupss, J. and Proc. Royal Soc. of New South Wales 108 (1975), 52-53.
280. Morris, S. A., Pontryagin Duality and the Structure of Locally Compact Abelian Groups, Cambridge Univ. Press, Cambridge etc., 1977.
281. Morris, S. A., Varieties of topological groups: A survey, Coll. Math. 46 (1982), 147-165.
282. Morris, S. A., Metrizability of free products of topological groups, Bull. Malaysian Math. Soc. 6 (1983), 7-11.
283. Morris, S. A., Free abelian topological groups, in: Categorical Topology, Heldermann, Berlin, 1984, 375-391.
284. Morris, S.A., Topological Groups: Yesterday, Today, Tomorrow, MDPI, Basel, Switzerland, 2016.
285. Morris, S.A., Topological Groups: Advances, Surveys and Open Questions, MDPI, Basel, Switzerland, 2019.
286. Morris, S. A., Karl Heinrich Hofmann and the Structure of Compact Groups and Pro-Lie Groups, J. of Lie Theory 33 (2023), 3-26..
287. Morris, S. A. and Nickolas, P. Locally compact group topologies on an algebraic free product of groups, J. Algebr 38 (1976), 393-397..
288. Morris, S. A., and H. B. Thompson, Free topological groups with no small subgroups, Proc. Amer. Math. Soc. 46, (1974), 431-437.
289. Morris, S.A., Ordman, E.T., and Thompson, H.B., The topology of free products of topological groups, Proceedings of the International Conference Theory of Groups, Canberra, 1973, Springer Lecture Notes 372, 220-227..
290. Mostert, P. S., Sections in principal ber spaces, Duke Math. J. 23 (1956), 57-72.
291. Mostert, P. S., Ed., Proceedings of the Conference on Transformation Groups, New Orleans 1967, Springer-Verlag Berlin etc., 1968, xiii+457pp.
292. Mycielski, J., Some properties of connected compact groups, Colloq. Math. 5 (1958), 162-166.
293. Mycielski, J., Independent sets in topological algebras, Fundamenta Math. 55 (1964), 139-147.
294. Nagami, K. R., Cross sections in locally compact groups, J. Math. Soc. Japan 15 (1963), 301-303.
295. Nagami, K. R., Dimension Theory, Academic Press, New York, 1970.
296. Nagata, J., Modern Dimension Theory, North Holland, Amsterdam, 1965.
297. Naimark, M. A., Normed Rings, Wolters-Noordho, Groningen, 1964.
298. Negrepontis, J. W., Duality in analysis from the point of view of triples, J. Algebra 19 (1971), 228-253.
299. Nickolas, P., Reexivity of topological groups, Proc. Amer. Math. Soc. 65 (1977), 137-141.
300. Nickolas, P., Coproducts of abelian topological groups, Topology and its Applications 120 (2002), 403-426.
301. Nikolov, N., and D. Segal, Generators and commutators in nite groups; abstract quotients of compact groups, Invent. Math. 190 (2012), 513-602.
302. Noble, N., k-groups and duality, Trans. Amer. Math. Soc. 151 (1970), 551-561.
303. Onishchik, A. L., Ed., Lie Groups and Lie Algebras I, II, III, SpringerVerlag, Berlin etc., 1991.
304. Palais, R. S., The Classication of G-spaces, Mem. Amer. Math. Soc. 36, 1960.
305. Paolini, G., and S. Shelah, On a cardinal invariant related to the Haar measure problem, Israel J. of Math. [236] (2020), 305-316.
306. Pasynkov, B., The coincidence of various definitions of dimensionality for locally bicompact groups, Soviet Mathematics 1 (1960), 720-722, Translation of Doklady Academii Nauk SSSR 132 (1960), 1035-1037.
307. Pavesic, P., and R. A. Piccinini, Fibrations and their classication, Heldermann Verlag, Lemgo, 2012, 158 + xivpp.
308. Pears, A. R., Dimension Theory of General Spaces, Cambridge Univ. Press, Cambridge etc., 1975.
309. Pedersen, G. K., C-Algebras and their Automorphism Groups, Academic Press, New York, 1979.
310. Pestov, V., On the structure and embeddings of topological groups, Manuscript deposited at VINITI, April 13, 1981, no. 1495-81Dep.
311. Pestov, V., Topological groups and algebraic envelopes of topological spaces, Ph.D. thesis, Moscow, 1983.
312. Pestov, V., Free abelian topological groups and the Pontryagin-van Kampen duality, Bull. Austral. Math. Soc. 52 (1995), 297-311.
313. Pestov, V., Free Banach-Lie algebras, couniversal Banach-Lie groups, and more, Pacic J. Math. 157 (1993), 137-144; 171 (1995), 585-588.
314. Pier, J.-D., L'appartition de la theorie des groups topologiques, Cahiers du Seminaire d'Histoire des Mathematiques (Paris) 9 (1988), 1-21.
315. Poguntke, D., The coproduct of two circle groups, General Topology Appl. 6 (1976), 127-144.
316. Poguntke, D., Epimorphisms of compact groups are onto, Proc. Amer. Math. Soc. 26 (1970), 503-504.
317. Pontryagin, L. S., Topological Groups, Gordon and Breach, New York etc., 1966.
318. Price, J., Lie Groups and Compact Groups, Cambridge Univ. Press, Cambridge etc., 1977.
319. Przezdziecki, A. J., P. Szewczak, and B. Tsaban, The Haar measure problem, Proc. Amer. Math. Soc. 147 (2019), 1051-1057.
320. Ribes, L., and P. Zalesskii, Pronite Groups, 2nd edition, Springer, Berlin, New York, 2010.
321. Rickart, C. E., General Theory of Banach Algebras, D. van Nostrand, Princeton, New Jersey, 1960.
322. Rickert, N. E., Some properties of locally compact spaces, J. Austral. Math. Soc. 7 (1967), 433-454.
323. Rickert, N. E., Arcs in locally compact groups, Math. Ann. 172 (1967), 222-228.
324. Rinow, W., Die innere Geometrie der metrischen Räume, Springer-Verlag, Berlin etc., 1961.
325. Roeder, D. W., Functorial characterizations of Pontryagin duality, Trans. Amer. Math. Soc. 154 (1971), 151-175.
326. Roeder, D. W., Category theory applied to Pontryagin duality, Pacic J. Math. 52 (1974), 519-527.
327. Rubin, J. E., Set Theory for the Mathematician, Holden-Day, San Francisco etc., 1967.
328. Rudin, W., Fourier Analysis on Groups, Interscience, New York, 1962.
329. Rudin, W., Functional Analysis, McGraw-Hill, New York etc., 1973.
330. Sagle, A. A., and R. E. Walde, Introduction to Lie Groups and Lie Algebras, Academic Press, New York etc., 1973.
331. Sakai, S., C-Algebras and W*-Algebras, Springer-Verlag, Berlin etc., 1971.
332. Saeki, S., and K. Stromberg, Measurable subgroups and nonmeasurable characters, Math.Scand. 57 (1985), 359-374.
333. Salzmann, H., D. Betten, T. Grundhäofer, H. Häahl, R. Läowen, and M. Stroppel, Compact Projective Planes, de Gruyter, Berlin 1995, xiii + 688pp.
334. Samelson, H., Über Sphären, die als Gruppenräume auftreten. Comment. Math. Helv. 13 (1940), 144-155.
335. Samelson, H., A connection between the Whitehead and the Pontrjagin product, Amer. J. Math. 75 (1953), 744-752.
336. Samelson, H., Topology of Lie groups, Bull. Amer. Math. Soc. 58, (1952), 2-37.
337. Samelson, H., Notes on Lie Algebras, Van Nostrand Reinhold, London etc., 1969.
338. Schaefer, H., Topological Vector Spaces, Macmillan, New York, 1966.
339. Schäappi, D., The formal theory of Tannaka duality, 2011, https://arxiv.org/pdf/1112.5213.pdf.
340. Scheerer, H., Sur la topologie des groupes compacts connexes, C. R. Acad. Sc. Paris, 274A (1972), 1441-1443.
341. Scheerer, H., und K. Strambach, Idempotente Multiplikationen, Math Z. 182 (1983), 95-119.
342. Scheer, W., Maps between topological groups that are homotopic to homomorphisms, Proc. Amer. Math. Soc. 33 (1972), 562-567.
343. Segal, D., Creating compact groups with nonclosed commutator subgroups, e-mail to the authors, 2010.
344. Schmidt, F. K., Über die Dichte metrischer Räume, Math. Ann. 106 (1932), 457-472.
345. Sepanski, M. R. Compact Lie Groups, Springer, Berlin, New York, 2007.
346. Serre, J.-P., Lie Algebras and Lie Groups, W. A. Benjamin, Inc., New York-Amsterdamn 1965.
347. w(G) , in: Papers on General Topology and Applications (Eighth Summer Conference at Queens College), Annals of the New York Academy of Sciences 728 (1994), 276-283.
348. Shalev, A., Profinite groups with restricted centralizers, Proc. Amer. Math. Soc. 122 (1994), 1279-1284.
349. Shatz, S. S., Profinite Groups, Arithmetic, and Geometry, Princeton University Press, Princeton, 1972.
350. Shelah, S., Infinite abelian groups, Whitehead Problem, and some constructions, Israel J. Math. 18 (1974), 243-256.
351. Shelah, S., The consistency of Ext(G, Z) = Q, Israel J. Math. 39 (1981), 74-82.
352. Simmons, G. F., Introduction to Topology and Modern Analysis, McGrawHill, New York etc., 1963.
353. Simon, B., Representations of Finite and Compact Groups, Grad. Stud. Math. 10, Amer. Math. Soc., Providence, R. I., 1996.
354. Sipacheva, O.V., and V. V. Uspenski, Free topological groups with no small subgroups, and Graev metrics, Moscow Univ. Math. Bull. 42 (1987), 24-29.
355. Skljarenko, E. G., On the topological structure of locally bicompact groups and their quotient spaces, Amer. Math. Soc. Transl. Ser 2, 39 (1964), 57-82.
356. Smirnov, Yu. M., On the weight of the ring of bounded continuous functions over a normal space, Mat. Sb. (N.S.) (1952), 213-218 (Russian).
357. Smith, M. G., and J. S. Wilson, On subgroups of finiute index in compact Hausdorff groups, Arch. Math. 80 (2003), 123-129.
358. Solovay, R., and S. Tennenbaum, Iterated Cohen extensions and Souslin's problem, Ann. of Math. 94 (1971), 201-245.
359. Spanier, E., Algebraic Topology, McGraw-Hill, New York etc., 1966.
360. Specht, W., Gruppentheorie, Springer-Verlag, Berlin etc., 1956.
361. Sperry, P. L. , The homotopy axiom for Alexander theory, J. London Math. Soc. 41 (1966), 97-100.
362. Spindler, K., Abstract Algebra with Applications I, II, Marcel Dekker, New York, 1994.
363. Steenrod, N., The Topology of Fibre Bundles, Princeton University Press, Princeton 1951, viii+229pp.
364. Steenrod, N., Universal homology groups, Amer. J. Math. 58 (1936), 661-701.
365. Stewart, T. E., Uniqueness of the topology in certain compact groups, Trans. Amer. Math. Soc. 97 (1960), 487-494.
366. Stone, A. H., Cardinals of closed sets, Mathematika 6 (1959), 99-107.
367. Stroppel, M., Locally compact groups, European Mathematical Society (EMS), Zürich, 2006.
368. Szenthe, J., On the topological characterization of transitive Lie group actions Acta Sci. Math. Szeged 36 (1974), 323-344.
369. Takesaki, M., Duality and von Neumann Algebras: in: Lectures on Operator Algebras, K. H. Hofmann Ed., Lecture Notes in Mathematics 247, Springer-Verlag Berlin etc., 1972, 665-786.
370. Takesaki, M., Theory of Operator Algebras, I, Springer-Verlag, New York etc., 1975.
371. Tannaka, T., Über den Dualitätssatz der nichtkommutativen topologischen Gruppen, Tôhoku Math. J. 45 (1939), 1-12.
372. Thompson, H. B., A remark on free topological groups with no small subgroups, J. Austral. Math. Soc. 18 (1974), 482-484.
373. Tits, J. Normalisateurs de tores I. Groupes de Coxeter etendues, J. Algebra 4 (1966), 96-116.
374. Tits, J., Tabellen zu den einfachen Lie Gruppen und ihren Darstellungen, Springer-Verlag, Berlin etc., Lecture Notes in Math. 40 (1967).
375. Tits, J., Liesche Gruppen und Algebren (unter Mitarbeit von M. Krämer und H. Scheerer), Springer-Verlag, Berlin etc., 1983.
376. Toda, H. A note on compact semi-simple Lie group, Japan. J. Math. 2 (1976), 355-360.
377. tom Dieck, T., Transformation Groups, de Gruyter, Berlin etc., 1987.
378. Uspenski, V. V., The solution of the epimorphism problem for Hausdor topological groups, Seminar Sophus Lie (= J. of Lie Theory) 3 (1993), 69-70.
379. Uspensk, V. V., The epimorphism problem for Hausdor topological groups, Topology Appl. 57 (1994), 287-294.
380. Van Heemert, A., Toplogische Gruppen und unzerlegbare Kontinua, Com- positio Math. 5 (1937), 319-326.
381. Varadara jan, V. S., Lie Groups, Lie Algebras, and their Representation, Prentice Hall, Englewood Clis, N. J., 1974.
382. Varopolous, N. Th., A theorem on the continuity of homomorphisms of locally compact groups, Math. Proc. Cambridge Philos. Soc. 60 (1964), 449-463.
383. Varopolous, N. Th., Studies in harmonic analysis, Math. Proc. Cambridge Philos. Soc. 60 (1964), 465-516.
384. Vedenisso, N., Remarks on the dimension of topological spaces (Russian), Moskov. Gos. Univ. Uc. Zap. 30 (1939), 131-140.
385. Venkataraman, R., Extensions of Pontrjagin duality, Math. Z. 143 (1975), 105-112.
386. Vilenkin, N. Ya., On the dyadicity of the group space of bikompact commutative groups, Uspehi Mat. Nauk. (N.S.) 13, vyp. 6(84), (1958), 79-80.
387. Vinberg, E. B., and A. L. Onishchik, Lie Groups and Algebraic Groups, Springer-Verlag, Berlin etc., 1990.
388. Wagner, S., Extending Characters of Fixed Point Algebras Axioms 7 (2018), no 79.
389. Wagon, S., The Banach-Tarski Paradox, Cambridge Univ. Press, 1985.
390. Walker, R., The Stone-Čech Compactication, Springer-Verlag, Berlin etc., 1974.
391. Warner, G., Harmonic Analysis on Semisimple Lie Groups I, SpringerVerlag, New York etc, 1972.
392. Weil, A., L'integration dans les groupes toplogiques et ses applications, Hermann, Paris, 1941.
393. Weil, A., Basic Algebraic Number Theory, Springer-Verlag, Berlin etc., 1967.
394. Wendel, J. G., Haar measure and the semigroup of measures on a compact group, Proc. Amer. Math. Soc. 5 (1954), 923-929.
395. Wielandt, H. Über die Unbeschränhtheit der Operatoren in der Quantenmechanik, Math. Ann. 121 (1949), 21.
396. nd ed. 1965.
397. Wilson, J. S., Profinite Groups, Oxford University Press, Oxford, New York, 1998.
398. Witt, E., Über die Kommutatorgruppe kompakter Gruppen, Rend. Mat. e Appl. 14 (1954), 125-129.
399. Young, G. S., Introduction of local connectivity by changing the topology, Amer. J. Math. 68 (1946), 479-494.
400. Zalesski, P. A., and O. V. Mel'nikov, Podgruppi prokonechnikh grupp, deistvuyutchikh naderevyakh, Mat. Sb. 135 (1988), 419-439.
401. Zambahidze, L. G., Relations between dimension between free bases of free topological groups, Sooshch. Akad. Nauk Gruzin SSSR 97 (1980), 569-572.
402. Zambahidze, L. G., On relations between dimensional and cardinal functions of spaces imbedded in spaces of a special type, Sooshch. Akad. Nauk Gruzin SSSR 100 (1980), 557-560.
403. Zelmanov, E. I., On periodic compact groups, Israel J. Math. 77 (1992), 83-95.