On a theorem of W.W. Comfort and K.A. Ross

Commentationes Mathematicae Universitatis Carolinae

Volumn 40, Issue 1, 1999, Pages 133-151

  Arhangel'skii, A V ^a,b  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

^b OHIO UNIVERSITY   (United States)

Author keywords

Bounded set; C embed ded; Canonical uniform tightness; Extremally disconnected; Frechet Urysohn; G dense; Hewitt completion; K1 space; Moscow space; Normal space; Pseudocompact; Rajkov completion; Topological group

Indexed keywords

EID: 0038258455     PISSN: 00102628     EISSN: 12137243     Source Type: Journal    
DOI: None     Document Type: Article

References (19)

1. Arhangel'skii A.V Classes of topological groups, Russian Math. Surveys 36:3 (1981), 151-174
2. Arhangel'skii A.V Functional tightness, Q-spaces, and τ-embeddings, Comment. Math. Univ. Carolinae 24:1 (1983), 105-120
3. Arhangel'skii A.V., Ponomarev V.I Fundamentals of General Topology in Problems and Exercises, D. Reidel Publ. Co., Dordrecht-Boston, Mass., 1984
4. Chigogidze A.C On Q-metrizable spaces, Russian Math. Surveys 37 (1982), 209-210
5. Comfort W.W., Ross K.A Pseudocompactness and uniform continuity in topological groups, Pacific J. Math. 16:3 (1966), 483-496
6. Comfort W.W., Trigos-Arrieta F.J Locally pseudocompact topological groups, Topology Appl. 62:3 (1995), 263-280
7. Engelking R General Topology, PWN, Warszawa, 1977
8. Glicksberg I Stone-Čech compactifications of products, Trans. Amer.Math. Soc. 90 (1959), 369-382
9. Hernandez S., Sanchis M Gσ-open functionally bounded subsets in topological groups, Topology Appl. 53:3 (1993), 288-299
10. Hernandez S., Sanchis M., Tkachenko M Bounded sets in spaces and topological groups, preprint, 1997
11. Hušek M Productivity of properties of topological groups, Topology Appl. 44 (1992), 189-196
12. Michael E A quintuple quotient quest, Gen. Topol. and Appl. 2:1 (1972), 91-138
13. Pontryagin L.S Continuous Groups, Princeton Univ. Press, Princeton, N.J., 1956
14. Roelke W., Dierolf S Uniform Structures on Topological Groups and their Quotients, McGraw-Hill, New York, 1981
15. Tkachenko M.G Subgroups, quotient groups, and products of R-factorizable groups, To-pology Proc. 16 (1991), 201-231
16. Tkachenko M.G Compactness type properties in topological groups, Czech. Math. J. 38 (1988), 324-341
17. Tkachenko M.G The notion of o-tightness and C-embedded subspaces of products, Topo-logy Appl. 15 (1983), 93-98
18. Uspenskij V.V Topological groups and Dugundji spaces, Matem. Sb. 180:8 (1989), 1092-1118
19. de Vries J Pseudocompactness and the Stone-Čech compactification for topological groups, Nieuw Archef voor Wiskunde 23:3 (1975), 35-48