ℝ-factorizable groups and subgroups of Lindelöf P-groups

Topology and its Applications

Volumn 136, Issue 1-3, 2004, Pages 135-167

  Tkachenko, Mich ^a  

^a DEPARTAMENTO DE QUÍMICA   (Mexico)

Author keywords

Bounded; Stable; Factorizable; C Embedded; Complete; Dieudonn complete; Lindel f; Lindel f space; P Space; Pseudo 1 compact; Realcompact; Stable; Weakly Lindel f; z Embedded

Indexed keywords

EID: 0345376196     PISSN: 01668641     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0166-8641(03)00217-7     Document Type: Article

References (42)

1. Arhangel'skii A.V. Factorization theorems and function spaces: Stability and monolithicity Soviet Math. Dokl. 26 1982 177-181 Russian original in Dokl. Akad. Nauk SSSR 265 1982 1039 1043
2. Arhangel'skii A.V. Continuous mappings, factorization theorems, and function spaces Trans. Moscow Math. Soc. 1985 1985 1-22 Russian original in Trudy Moskov. Mat. Obshch. 47 1984 3 21
3. Arhangel'skii A.V. Topological homogeneity, topological groups and their continuous images Russian Math. Surveys 42 1987 83-131 Russian original in Uspekhi Mat. Nauk 42 1987 69 105
4. Arhangel'skii A.V. Topological Function Spaces Math. Appl. (Soviet Ser.) 78 1992 Kluwer Academic Dordrecht
5. Arhangel'skii A.V. Moscow spaces, Pestov-Tkačenko Problem, and C-embeddings Comment. Math. Univ. Carolin. 41 2000 585-595
6. Arhangel'skii A.V. Topological groups and C-embeddings Topology Appl. 115 2000 265-289
7. Blair R.L. Spaces in which special sets are z-embedded Canad. J. Math. 28 1976 673-690
8. Blair R.L. Hager A.W. Notes on the Hewitt realcompactification of a product Gen. Topology Appl. 5 1975 1-8
9. Blaszczyk A. Souslin number and inverse limits Proc. Conf. Topol. and Measure III, Vitte/Hiddensee, GDR, 1980, Part I, Greifswald 1982 21-26
10. Comfort W.W. Compactness-like properties for generalized weak topological sums Pacific J. Math. 60 1975 31-37
11. Comfort W.W. Topological groups in: Kunen K. Vaughan J.E. (Eds.), Handbook of Set-Theoretic Topology 1984 1143-1263 North-Holland Amsterdam Chapter 24
12. Comfort W.W. Morris S.A. Robbie D. Svetlichny S. Tkachenko M.G. Suitable sets for topological groups Topology Appl. 86 1998 25-46
13. van Douwen E.K. The maximal totally bounded group topology on G and the biggest minimal G-space for Abelian groups G Topology Appl. 34 1990 69-91
14. Efimov B.A. Dyadic compacta Trudy Moskov. Mat. Obshch. 14 1965 211-247 (in Russian)
15. Engelking R. General Topology 1989 Heldermann Berlin
16. Galindo J. Hernández S. On a theorem of van Douwen Extracta Math. 13 1 1998 115-123
17. Gartside P. Reznichenko E. Sipacheva O. Maltsev and retral spaces Topology Appl. 80 1997 115-129
18. Gillman L. Jerison M. Rings of Continuous Functions 1976 Springer Berlin
19. Glicksberg I. Stone-Čech compactifications of products Trans. Amer. Math. Soc. 90 1959 369-382
20. Guran I. On topological groups close to being Lindelöf Soviet Math. Dokl. 23 1981 173-175
21. Hernández C. Tkačenko M. Subgroups of ℝ-factorizable groups Comment. Math. Univ. Carolin. 39 1998 371-378
22. Hernández S. Sanchis M. Tkačenko M. Bounded sets in spaces and topological groups Topology Appl. 101 2000 21-43
23. Juhász I. Cardinal Functions in Topology Math. Centre Tracts 34 1971 Math. Centrum Amsterdam
24. Juhász I. Cardinal Functions in Topology-Ten Years Latter Math. Centre Tracts 123 1980 Math. Centrum Amsterdam
25. Just W. Weese M. Discovering Modern Set Theory II Graduate Stud. in Math. 8 1997 American Mathematical Society Providence, RI
26. Noble N. Products with closed projections Trans. Amer. Math. Soc. 140 1969 381-391
27. Noble N. Ulmer M. Factoring functions on Cartesian products Trans. Amer. Math. Soc. 163 1972 329-339
28. Pasynkov B.A. On the relative cellularity of Lindelöf subspaces of topological groups Topology Appl. 57 1994 249-258
29. Schepin E.V. Real-valued functions and canonical sets in Tychonoff products and topological groups Russian Math. Surveys 31 1976 19-30
30. Schepin E.V. Topology of limit spaces of uncountable inverse spectra Russian Math. Surveys 31 1976 175-207 Russian original in Uspekhi Mat. Nauk 31 1976 191 226
31. Shapirovskii B.E. Canonical sets and character. Density and weight in compact spaces Soviet Math. Dokl. 15 1974 1282-1287
32. Tkachenko M.G. Some results on inverse spectra II Comment. Math. Univ. Carolin. 22 1981 819-841
33. Tkachenko M.G. The Souslin property in free topological groups over compact spaces Math. Notes 34 1983 790-793
34. Tkachenko M.G. Free topological groups and related topics Colloq. Math. 41 1983 609-623
35. Tkačenko M.G. Compactness type properties in topological groups Czechoslovak Math. J. 38 1988 324-341
36. Tkachenko M.G. Subgroups, quotient groups and products of ℝ-factorizable groups Topology Proc. 16 1991 201-231
37. Tkachenko M.G. Factorization theorems for topological groups and their applications Topology Appl. 38 1991 21-37
38. Tkachenko M.G. M-mappings and the cellularity of spaces Topology Appl. 57 1994 183-207
39. Tkachenko M.G. Introduction to topological groups Topology Appl. 86 1998 179-231
40. 0-bounded groups need not be ℝ-factorizable Comment. Math. Univ. Carolin. 42 2001 551-559
41. Uspenskij V.V. On continuous images of Lindelöf topological groups Soviet Math. Dokl. 32 1985 802-806
42. Williams S.W. Box products in: Kunen K. Vaughan J. (Eds.), Handbook of Set-Theoretic Topology 1984 169-200 North-Holland Amsterdam Chapter 4