11 citations · 20 across the 5 of their papers we have counts for
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math.GN2008★ 1 cited
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…
math.GN2008★ 11 cited
(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…
math.GN2008★ 1 cited
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…