16 citations · 31 across the 13 of their papers we have counts for
16 papers
The completeness of free Boolean topological groups
Ol'ga V. Sipacheva, Mikhail G. Tkachenko
It is proved that the free Boolean topological group on a Tychonoff space is Weil complete if and only if the space is Dieudonné complete. This result provides a pos…
All countable subsets of pseudocompact quasitopological Korovin groups are closed, discrete and -embedded
Evgenii Reznichenko, Mikhail Tkachenko
We show that all countable subsets of any pseudocompact quasitopological group in the form of a Korovin orbit are closed, discrete, and -embedded. Consequently, any infinit…
Weak completions of paratopological groups
Taras Banakh, Mikhail Tkachenko
Given a paratopological group and a class of continuous homomorphisms of paratopological groups, we define the - …
Simply -factorizable (para)topological groups and their completions
Li-Hong Xie, Mikhail Tkachenko
Let us call a (para)topological group \emph{strongly submetrizable} if it admits a coarser separable metrizable (para)topological group topology. We present a characterization of s…
On convergent sequences in dual groups
M. V. Ferrer, S. Hernández, M. Tkachenko
We provide some characterizations of precompact abelian groups whose dual group endowed with the pointwise convergence topology on elements of contains a nontr…
The Separable Quotient Problem for Topological Groups
Arkady G. Leiderman, Sidney A. Morris, Mikhail G. Tkachenko
The famous Banach-Mazur problem, which asks if every infinite-dimensional Banach space has an infinite-dimensional separable quotient Banach space, has remained unsolved for 85 yea…