T. Banakh

activity

20062025

most citedEmbedding the bicyclic semigroup into countably compact topological semigroups

33 citations · 687 across the 231 of their papers we have counts for

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152 papers · 1 filter

math.GN2023★ 1 cited

Banakh spaces and their geometry

Taras Banakh

Following Will Brian, we define a metric space $X$ to be $B anak h$ if all nonempty spheres of positive radius $r$ in $X$ have cardinality $2$ and diameter $2 r$ . Standard examples of…

math.GN2022

Examples of strongly rigid countable (semi)Hausdorff spaces

Taras Banakh, Yaryna Stelmakh

A topological space $X$ is $s t r o n g l y$ $r i g i d$ if each non-constant continuous map $f : X \to X$ is the identity map of $X$ . A Hausdorff topological space $X$ is called $B r o w n$ if for…

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

Absolutely closed semigroups

Taras Banakh, Serhii Bardyla

Let $C$ be a class of topological semigroups. A semigroup $X$ is called $ab so l u t e l y$ $C$ - $c l ose d$ if for any homomorphism $h : X \to Y$ to a topological semigroup $Y…

Banakh spaces and their geometry

Examples of strongly rigid countable (semi)Hausdorff spaces

Injectively and absolutely T1​S-closed semigroups

Categorically closed unipotent semigroups

Automatic continuity of measurable homomorphisms on Cech-complete topological groups

Absolutely closed semigroups

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