18 citations · 121 across the 42 of their papers we have counts for
6 papers · 2 filters
Embedding of graph inverse semigroups into CLP-compact topological semigroups
Serhii Bardyla
In this paper we investigate graph inverse semigroups which are subsemigroups of compact-like topological semigroups. More precisely, we characterise graph inverse semigroups which…
Complete topologized posets and semilattices
Taras Banakh, Serhii Bardyla
In this paper we discuss the notion of completeness of topologized posets and survey some recent results on closedness properties of complete topologized semilattices.
The closedness of complete subsemilattices in functionally Hausdorff semitopological semilattices
Taras Banakh, Serhii Bardyla, Alex Ravsky
A topologized semilattice is complete if each non-empty chain has and . It is proved that for any complete subsemilattice of…
On images of complete topologized subsemilattices in sequential semitopological semilattices
Taras Banakh, Serhii Bardyla
A topologized semilattice is called complete if each non-empty chain has and . We prove that for any continuous homomorphism $h:…
The interplay between weak topologies on topological semilattices
Taras Banakh, Serhii Bardyla
We study the interplay between three weak topologies on a topological semilattice : the weak topology (generated by the base consiting of open subse…
On locally compact semitopological graph inverse semigroups
Serhii Bardyla
In this paper we investigate locally compact semitopological graph inverse semigroups. Our main result is the following: if a directed graph is strongly connected and contains…