M. G. Tkacenko
Universidad Autónoma Metropolitana
10 Papers
166 Citations
M. G. Tkacenko is an academic researcher from Universidad Autónoma Metropolitana. The author has contributed to research in topics: Topological group & First-countable space. The author has an hindex of 7, co-authored 10 publications.
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Papers
Introduction to topological groups
TL;DR: In this paper, a survey of cardinal functions on topological groups is presented, and relations between the classes of σ-compact, ℵ 0 -bounded and R -factorizable groups are established.
105
Topological groups with thin generating sets
TL;DR: In this paper, the authors studied various algebraic and topological conditions on a group G which imply the existence of a suitable set for G as well as the restraints imposed by such a set.
24
Some topological groups with and some without suitable sets
TL;DR: In this paper, it was shown that a non-pseudocompact topological group with a dense strictly σ -discrete subset has a closed suitable set and that every countable subset of the subset is compact.
20
Neither first countable nor Cech-complete spaces are maximal Tychonoff connected
Dmitri Shakhmatov,M. G. Tkacenko,Vladimir V. Tkachuk,Stephen Watson,R. G. Wilson +4 more
- 01 Jan 1998
TL;DR: In this article, it was shown that if X is a connected Tychonoff space and X E {locally separable spaces, locally Cech-complete spaces, first countable spaces}.