How many ω-bounded subgroups?

Topology and its Applications

Volumn 77, Issue 2, 1997, Pages 105-113

  Comfort, W W ^a   Van Mill, Jan ^b  

^a WESLEYAN UNIVERSITY   (United States)

^b VU UNIVERSITY AMSTERDAM   (Netherlands)

Author keywords

Density character; P space; Topological group; Weak p space; Weight; bounded subgroup

Indexed keywords

EID: 15844384057     PISSN: 0016660X     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0166-8641(96)00135-6     Document Type: Article

References (17)

1. W.W. Comfort, Some progress and problems in topological groups, in: Z. Frolík, ed., General Topology and Its Relations to Modern Analysis and Algebra VI (Berlin). Proc. Sixth 1986 Prague Topological Symposium (Heldermann, Berlin, 1988) 95-108.
2. W.W. Comfort, H. Gladdines and J. van Mill, Proper pseudocompact subgroups of pseudocompact Abelian groups, in: S. Andima, G. Itzkowitz, T.Y. Kong, R. Kopperman, P.R. Misra, L. Narici and A. Todd, eds., Papers on General Topology and Applications, Proc. Queens College Summer Conference on General Topology and Applications, June 1992 Ann. New York Acad. Sci. 728 (New York, 1994) 237-247.
3. W.W. Comfort, H. Gladdines and J. van Mill, Proper pseudocompact subgroups of pseudocompact Abelian groups, in: S. Andima, G. Itzkowitz, T.Y. Kong, R. Kopperman, P.R. Misra, L. Narici and A. Todd, eds., Papers on General Topology and Applications, Proc. Queens College Summer Conference on General Topology and Applications, June 1992 Ann. New York Acad. Sci. 728 (New York, 1994) 237-247.
4. W.W. Comfort and L.C. Robertson, Extremal phenomena in certain classes of totally bounded groups, Dissertationes Math., Rozprawy Mat. 272, (Polish Sci. Publ., Warszawa, 1988).
5. W.W. Comfort and J. van Mill, Concerning connected, pseudocompact Abelian groups, Topology Appl. 33 (1989) 21-45.
6. W.W. Comfort and J. van Mill, Some topological groups with, and some without, proper dense subgroups. Topology Appl. 41 (1991) 3-15.
7. W.W. Comfort and D. Remus. Pseudocompact refinements of compact group topologies. Math. Z. 215 (1994) 337-346.
8. L. Gillman and M. Jerison, Rings of Continuous Functions (Van Nostrand, New York, 1960).
9. E. Hewitt and K.A. Ross, Abstract Harmonic Analysis, Vol. 1, Grundlehren Math. Wiss. 115 (Springer-Verlag, Berlin, 1963).
10. E. Hewitt and K.A. Ross, Abstract Harmonic Analysis, Vol. II, Grundlehren Math. Wiss. 152 (Springer-Verlag, Berlin, 1970).
11. R.E. Hodel, The number of metrizable spaces, Fund. Math. 115 (1983) 127-141.
12. G.L. Itzkowitz, On the density character of compact topological groups. Fund. Math. 75 (1972) 201-203.
13. G.L. Itzkowitz, Cardinal numbers associated with dense pseudocompact groups (1995). submitted.
14. G. Itzkowitz and D. Shakhmatov, Large families of dense pseudocompact subgroups of compact groups, Fund. Math. 147 (1995) 197-212.
15. G. Itzkowitz and D. Shakhmatov, Dense countably compact subgroups of compact groups. Math. Japon., to appear.
16. w(G), in: S. Andima, G. Itzkowitz, T.Y. Kong, R. Kopperman, P.R. Misra, L. Narici and A. Todd, eds., Papers in General Topology and Applications, Proc. Queens College Summer Conference on General Topology and Applications. June 1992, Ann. New York Acad. Sci. 728 (New York, 1994) 276-283.
17. w(G), in: S. Andima, G. Itzkowitz, T.Y. Kong, R. Kopperman, P.R. Misra, L. Narici and A. Todd, eds., Papers in General Topology and Applications, Proc. Queens College Summer Conference on General Topology and Applications. June 1992, Ann. New York Acad. Sci. 728 (New York, 1994) 276-283.