Topologically complete groups

Author:

Brown Lawrence G.

Abstract

Topologically complete groups are characterized by the existence of a compact subgroup such that the coset space is topologically complete and metrizable. Coset spaces of topologically complete groups and extensions of one topologically complete group by another are again topologically complete. The open mapping theorem is valid for topologically complete groups.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference11 articles.

1. Note on the open mapping theorem;Brown, Lawrence G.;Pacific J. Math.,1971

2. \bysame, Completeness, separability, metrizability, and extensions of topological groups (in preparation).

3. E. Čech, On bicompact spaces, Ann. of Math. 39 (1937), 823-844.

4. Generalizations of the 𝐺_{𝛿}-property of complete metric spaces;Frolík, Zdeněk;Czechoslovak Math. J.,1960

5. On the topoligical product of paracompact spaces;Frolík, Z.;Bull. Acad. Polon. Sci. S\'{e}r. Sci. Math. Astronom. Phys.,1960

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