The structure of abelian pro-Lie groups

Mathematische Zeitschrift

Volumn 248, Issue 4, 2004, Pages 867-891

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

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

^b UNIVERSITY OF BALLARAT   (Australia)

Author keywords

Abelian topological group; Exponential function; Lie group; Locally compact group; Projective limit; Vector subgroup

Indexed keywords

EID: 11144267760     PISSN: 00255874     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00209-004-0685-5     Document Type: Article

References (18)

1. Banaszczyk, W.: Additive Subgroups of Topological Vector Spaces. Lecture Notes in Math. 1466, Springer-Verlag, Berlin, 1991
2. Bourbaki, N.: Topologie générale. Chap. 4-10, Hermann, Paris, 1971
3. Brown, R., Higgins, P. J., Morris, S. A.: Countable products and sums of lines and circles: their closed subgroups, quotients and duality properties. Math. Proc. Cambridge Philos. Soc. 78, 19-32 (1975)
4. Eklof, P. C., Mekler, A. H.: Almost free modules: set theoretic methods. North Holland, Amsterdam etc., 1990, xvi+481 p
5. Hofmann, K. H.: A Category of Topological Groups Suitable for a Structure Theory of Locally Compact Groups. Topology Proceedings 26, 651-665 (2001-02)
6. Hofmann, K. H., Morris, S. A.: The Structure of Compact Groups. De Gruyter Berlin, 1998, xvii+835pp
7. Hofmann, K. H., Morris, S. A.: Transitive actions of compact groups and topological dimension. J. Algebra 234, 454-479 (2000)
8. Hofmann, K. H., Morris, S. A.: Lie Theory and the Structure of Pro-Lie Groups and Locally Compact Groups, monograph in preparation, visit http://uob-community.ballarat.edu.au/~smorris/loccocont.pdf References to this source are preliminary
9. Hofmann, K. H., Morris, S. A.: Projective limits of finite dimensional Lie groups. Proc. London Math. Soc. 87, 647-676 (2003)
10. Hofmann, K.H., Morris, S. A., Poguntke, D.: The exponential function of locally connected compact abelian groups. Forum Mathematicum 16, 1-16 (2004)
11. Hofmann, K. H., Morris, S. A., Stroppel, M.: Locally compact groups, residual Lie groups, and varieties generated by Lie groups. Topology Appl. 20, 1-29 (1996)
12. Hunt, D. C., Morris, S. A., van der Poorten, A. J.: Closed subgroups of products of reals. Bull. London Math. Soc. 7, 124-128 (1975)
13. Montgomery, D., Zippin, L.: Topological Transformation Groups. Interscience Publishers, New York, 1955
14. Morris, S. A.: A topological group characterization of those locally convex spaces having their weak topology. Math. Ann. 195, 330-331 (1972)
15. Ribes, L., Zaleskii, P. A.: Profinite Groups, Springer-Verlag, Berlin etc., Ergebnisse 3. Folge 40, 2000
16. Roelke, W., Dierolf, S.: Uniform Structures on Topological Groups and their Quotients. McGraw-Hill, New York etc., 1981
17. Weil, A.: Basic Algebraic Number Theory. Springer-Verlag, Berlin etc., 1967
18. Wilson, J. S.: Profinite Groups. Clarendon Press Oxford, 1998, xi+284