Тарас Банах

activity

20102023

most citedOn subgroups of saturated or totally bounded paratopological groups

18 citations · 31 across the 20 of their papers we have counts for

collaborators

Showing 2022Show all

5 papers · 1 filter

math.GR2022

Injectively closed commutative semigroups

Taras Banakh

Let $C$ be a class of topological semigroups. A semigroup $X$ is $inj ec t i v e l y$ $C$ - $c l ose d$ if $X$ is closed in each topological semigroup $Y \in C$ contai…

math.GN2022

Injectively and absolutely $T_{1} S$ -closed semigroups

Taras Banakh

A semigroup $X$ is $ab so l u t e l y$ (resp. $inj ec t i v e l y$ ) $T_{1} S$ - $c l ose d$ if for any (injective) homomorphism $h : X \to Y$ to a $T_{1}$ topological semigroup $Y \in C$ , the image $h…

math.GN2022

Categorically closed unipotent semigroups

Taras Banakh, Myroslava Vovk

Let $C$ be a class of $T_{1}$ topological semigroups, containing all Hausdorff zero-dimensional topological semigroups. A semigroup $X$ is $C$ - $c l ose d$ if $X$ is cl…

math.GN2022

Automatic continuity of measurable homomorphisms on Cech-complete topological groups

Taras Banakh

We prove that a homomorphism $h : X \to Y$ from a (locally compact) Cech-complete topological group $X$ to a topological group $Y$ is continuous if and only if $h$ is Borel-measurable…

math.GN2022

First-countable Lindelöf scattered spaces

Taras Banakh, Will Brian, Alejandro Ríos-Herrejón

We study the class of first-countable Lindelöf scattered spaces, or "FLS" spaces. While every $T_{3}$ FLS space is homeomorphic to a scattered subspace of $Q$ , the class of $…

Injectively closed commutative semigroups

Injectively and absolutely T1​S-closed semigroups

Categorically closed unipotent semigroups

Automatic continuity of measurable homomorphisms on Cech-complete topological groups

First-countable Lindelöf scattered spaces

Injectively and absolutely $T_{1} S$ -closed semigroups