S. Bardyla

activity

20132026

most citedOn a complete topological inverse polycyclic monoid

18 citations · 121 across the 42 of their papers we have counts for

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Showing 2020 · math.GNShow all

3 papers · 2 filters

math.GN2020

On regular separable countably compact $R$ -rigid spaces

Serhii Bardyla, Lyubomyr Zdomskyy

A topological space $X$ is said to be {\em $Y$ -rigid} if any continuous map $f : X \to Y$ is constant. In this paper we construct a number of examples of regular countably com…

math.GN2020

A countably compact topological group with the non-countably pracompact square

Serhii Bardyla, Alex Ravsky, Lyubomyr Zdomskyy

Under Martin's Axiom we construct a Boolean countably compact topological group whose square is not countably pracompact.

math.GN2020

On regular $κ$ -bounded spaces admitting only constant continuous mappings into $T_{1}$ spaces of pseudo-character $\leq κ$

Serhii Bardyla, Alexander V. Osipov

In this paper for each cardinal $κ$ we construct an infinite $κ$ -bounded (and hence countably compact) regular space $R_{κ}$ such that for any $T_{1}$ space $Y$ of pseudo-character $\l…

On regular separable countably compact R-rigid spaces

A countably compact topological group with the non-countably pracompact square

On regular κ-bounded spaces admitting only constant continuous mappings into T1​ spaces of pseudo-character ≤κ

On regular separable countably compact $R$ -rigid spaces

On regular $κ$ -bounded spaces admitting only constant continuous mappings into $T_{1}$ spaces of pseudo-character $\leq κ$