11 citations · 20 across the 5 of their papers we have counts for
5 papers
Free topological inverse semigroups as infinite-dimensional manifolds
T. Banakh, O. Hryniv
Let be a complete quasivariety of topological inverse Clifford semigroups, containing all topological semilattices. It is shown that the free topological inverse semigroup $F(X…
(Metrically) quarter-stratifiable spaces and their applications in the theory of separately continuous functions
Taras Banakh
We introduce and study (metrically) quarter-stratifiable spaces and then apply them to generalize Rudin and Kuratowski-Montgomery theorems about the Baire and Borel complexity of s…
Fréchet-Urysohn fans in free topological groups
Taras Banakh, Dušan Repovš, Lyubomyr Zdomskyy
In this paper we answer the question of T. Banakh and M. Zarichnyi constructing a copy of the Fréchet-Urysohn fan $S_\w$ in a topological group admitting a functorial embedding…
Approximation by light maps and parametric Lelek maps
Taras Banakh, Vesko Valov
The class of metrizable spaces with the following approximation property is introduced and investigated: if for every $\e>0$ and a map $g\colon\I^n\to M$ there e…
The coarse classification of homogeneous ultra-metric spaces
Taras Banakh, Ihor Zarichnyy
We prove that two homogeneous ultra-metric spaces are coarsely equivalent if and only if where is the…