18 citations · 121 across the 42 of their papers we have counts for
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math.GN2021
Categorically closed countable semigroups
Taras Banakh, Serhii Bardyla
In this paper we establish a connection between categorical closedness and topologizability of semigroups. In particular, for a class of topologica…
math.GN2021
Ideal approach to convergence in functional spaces
Serhii Bardyla, Jaroslav Supina, Lyubomyr Zdomskyy
We solve the last standing open problem from the seminal paper by J. Gerlits and Zs. Nagy, which was later reposed by A. Miller, T. Orenshtein and B. Tsaban. Namely, we show that u…
math.GN2021★ 1 cited
On topological McAlister semigroups
Serhii Bardyla
In this paper we consider McAlister semigroups over arbitrary cardinals and investigate their algebraic and topological properties. We show that the group of automorphisms of a McA…