S. Bardyla

activity

20132019

collaborators

4 papers

math.GN2019

Embeddings into countably compact Hausdorff spaces

Taras Banakh, Serhii Bardyla, Alex Ravsky

In this paper we consider the problem of characterization of topological spaces that embed into countably compact Hausdorff spaces. We study the separation axioms of subspaces of c…

math.GN2017

On locally compact shift-continuous topologies on the $α$ -bicyclic monoid

Serhii Bardyla

A topology $τ$ on a monoid $S$ is called {\em shift-continuous} if for every $a, b \in S$ the two-sided shift $S \to S$ , $x \mapsto a x b$ , is continuous. For every ordinal $α \leq ω$ , we…

math.GN2017

On locally compact topological graph inverse semigroups

Serhii Bardyla

In this paper we characterise graph inverse semigroups which admit only discrete locally compact semigroup topology. This characterization provides a complete answer on the questio…

math.GN2013

On $H$ -complete topological semilattices

S. Bardyla, O. Gutik

In the paper we describe the structure of $AH$ -completions and $H$ -completions of the discrete semilattices $(N, min)$ and $(N, max)$ . We give…

Embeddings into countably compact Hausdorff spaces

On locally compact shift-continuous topologies on the α-bicyclic monoid

On locally compact topological graph inverse semigroups

On H-complete topological semilattices

On locally compact shift-continuous topologies on the $α$ -bicyclic monoid

On $H$ -complete topological semilattices