16 citations · 31 across the 13 of their papers we have counts for
4 papers · 2 filters
The weight and Lindelöf property in spaces and topological groups
Mikhail G. Tkachenko
We show that if is a dense subspace of a Tychonoff space , then , where is the Nagami number of . In particular, if is a Lindelöf $Σ…
Regular -diagonals and some upper bounds for cardinality of topological spaces
Ivan S. Gotchev, Mikhail G. Tkachenko, Vladimir V. Tkachuk
We prove that, under CH, any space with a regular -diagonal and caliber is separable; a corollary of this result answers, under CH, a question of Buzyakova. For any Urys…
Remarks on metrizability of dual groups
Frédéric Mynard, Mikhail Tkachenko
We examine sufficient conditions for the dual of a topological group to be metrizable and locally compact.
Density character of subgroups of topological groups
Arkady Leiderman, Sidney A. Morris, Mikhail G. Tkachenko
A subspace Y of a separable metrizable space X is separable, but without X metrizable this is not true even If Y is a closed linear subspace of a topological vector space X. K.H. H…