Pseudocompact topological group refinements of maximal weight

Proceedings of the American Mathematical Society

Volumn 131, Issue 4, 2003, Pages 1311-1320

  Comport, W W ^a   Galindo, Jorge ^b  

^a WESLEYAN UNIVERSITY   (United States)

^b UNIVERSITAT JAUME I   (Spain)

Author keywords

Maximal weight; Pseudocompact; Refinement topology; Topological group

Indexed keywords

EID: 0037385531     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-02-06650-9     Document Type: Conference Paper

References (22)

1. F. S. Cater, Paul Erdos, and Fred Calvin, On the density of λ-box products, General Topology and Its Applications 9 (1978), 307-312. MR 80e:54004
2. W. W. Comfort and Jorge Galindo, Extremal pseudocompact topological groups (title tentative) (2000). Manuscript in preparation.
3. W. W. Comfort and Dieter Remus, Imposing pseudocompact group topologies on Abelian groups, Fundamenta Math. 142 (1993), 221-240. MR 94g:22006
4. W. W. Comfort and Dieter Remus, Abelian torsion groups with a pseudocompact group topology, Forum Mathematicum 6 (1994), 323-337. MR 95d:20096
5. W. W. Comfort and Dieter Remus, Pseudocompact refinements of compact group topologies, Math. Zeitschrift 215 (1994), 337-346. MR 95f:54035
6. W. W. Comfort and Lewis C. Robertson, Proper pseudocompact extensions of compact Abelian group topologies, Proc. Amer. Math. Soc. 86 (1982), 173-178. MR 83k:22011
7. W. W. Comfort and Lewis C. Robertson, Cardinality constraints for pseudocompact and for totally dense subgroups of compact Abelian groups, Pacific J. Math. 119 (1985), 265-285. MR 87i:22002
8. W. W. Comfort and Lewis C. Robertson, Extremal phenomena in certain classes of totally bounded groups, Dissertationes Math. 272 (1988). 48 pages, Rozprawy Mat. Polish Scientific Publishers, Warszawa. MR 89i:22001
9. W. W. Comfort and Kenneth A. Ross. Topologies induced by groups of characters, Fundamenta Math. 55 (1964), 283-291. MR 30:183
10. W. W. Comfort and Kenneth A. Ross, Pseudocompactness and uniform continuity in topological groups, Pacific J. Math. 16 (1966), 483-496. MR 34:7699
11. W. W. Comfort and Jan van Mill, Concerning connected, pseudocompact Abelian groups, Topology and Its Applications 33 (1989), 21-45. MR 90k:54002
12. D. N. Dikranjan and D. B. Shakhmatov, Pseudocompact topologizations of groups, Zbornik radova Filozofskog fakulteta u Nišu Serija Matematika 4 (1990), 83-93. MR 92k:54043
13. D. N. Dikranjan and D. B. Shakhmatov, Algebraic structure of the pseudocompact groups, 1991, Report 91-19, pp. 1-37. York University, Ontario, Canada.
14. Dikran N. Dikranjan and Dmitri B. Shakhmatov, Algebraic structure of pseudocompact groups, Memoirs Amer. Math. Soc. 133, ix + 83 pages, 1998. MR 98j:22001
15. E. K. van Douwen, The weight of a pseudocompact (homogeneous) space whose cardinality has countable cofinality, Proc. Amer. Math. Soc. 80 (1980), 678-682. MR 82a:54009
16. László Fuchs, Infinite Abelian Groups, vol. 1, Academic Press, New York-San Francisco-London, 1970. MR 41:333
17. Jorge Galindo, Dense pseudocompact subgroups and finer pseudocompact group topologies, Sci. Math. Japan 55 (2001), 627-640.
18. Edwin Hewitt. Rings of real-valued continuous functions I, Trans. Amer. Math. Soc. 64 (1948), 45-99. MR 10:126e
19. Edwin Hewitt and Kenneth A. Ross, Abstract Harmonic Analysis, volume I, Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen, volume 115, Springer Verlag, Berlin-Göttingen-Heidelberg, 1963. MR 28:158
20. Edwin Hewitt and Kenneth A. Ross. Extensions of Haar measure and of harmonic analysis for locally compact Abelian groups, Math. Annalen 160 (1965), 171-194. MR 32:4208
21. J. Mycielski, Some properties of connected compact groups, Colloq. Math. 5 (1958), 51-79. MR 20:6479
22. André Weil, Sur les Espaces à Structure Uniforme et sur la Topologie Générale, Publ. Math. Univ. Strasbourg, vol. 551, Hermann and Cie, Paris, 1938.