Let C be a class of T 1 topological semigroups which contains all zero-dimensional
Hausdorff topological semigroups. A semigroup X is called C-closed if X is closed in each …

arxiv:1806.02869v3 [math.GN] 7 Feb 2022 Page 1 arxiv:1806.02869v3 [math.GN] 7 Feb 2022
COMPLETE TOPOLOGIZED POSETS AND SEMILATTICES TARAS BANAKH, SERHII …

A topologized semilattice X is complete if each non-empty chain C⊂ X has inf⁡ C∈ C¯ and
sup⁡ C∈ C¯. It is proved that for any complete subsemilattice X of a functionally Hausdorff …

We study the interplay between three weak topologies on a topological semilattice X: the
weak∘ topology w X∘(generated by the base consisting of open subsemilattices of X), the …

We study the semigroup $\boldsymbol {B} _ {\omega}^{\mathscr {F}} $, which is introduced in
the paper [O. Gutik and M. Mykhalenych,\emph {On some generalization of the bicyclic …

A topologized semilattice X is called complete if each non-empty chain C⊂ X has inf C and
sup C that belong to the closure C¯ of the chain C in X. In this paper, we introduce various …

For a Hausdorff topologized semilattice X its Lawson number Λ¯(X) is the smallest cardinal κ
such that for any distinct points x, y∈ X there exists a family U of closed neighborhoods of x …

arxiv:2208.09155v1 [math.GR] 19 Aug 2022 Page 1 arxiv:2208.09155v1 [math.GR] 19 Aug
2022 ON THE SEMIGROUP BFn ω WHICH IS GENERATED BY THE FAMILY Fn OF FINITE …

We study the semigroup B< sup> F< sub> n< sub> ω, which is introduced in the paper
[Visnyk Lviv Univ. Ser. Mech.-Mat. 2020, 90, 5–19 (in Ukrainian)], in the case when the ω …

Complete semitopological semilattices Page 1 Complete semitopological semilattices
Serhii Bardyla Ivan Franko National University of Lviv Dynamical methods in Algebra …