Jan Kochanowski University

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19992026

most citedEnergy and system size dependence of chemical freeze-out in relativistic nuclear collisions

412 citations

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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

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 $…

math.GN2020★ 5 cited

The Kirch space is topologically rigid

Taras Banakh, Yaryna Stelmakh, Sławomir Turek

The $G o l o mb$ $s p a ce$ (resp. the $K i r c h$ $s p a ce$ ) is the set $N$ of positive integers endowed with the topology generated by the base consisting of arithmetic progressions $…

math.GN2020★ 1 cited

Vietoris hyperspaces of scattered Priestley spaces

T. Banakh, R. Bonnet, W. Kubiś

We study Vietoris hyperspaces of closed and closed final sets of Priestley spaces. We are particularly interested in Skula topologies. A topological space is \emph{Skula} if its to…

math.GN2020

The $ℓ^{p}$ -metrization of functors with finite supports

T. Banakh, V. Brydun, L. Karchevska +1

Let $p \in [1, \infty]$ and $F : Set \to Set$ be a functor with finite supports in the category $Set$ of sets. Given a non-empty metric space $(X, d_{X})$ , we intr…

math.GN2020★ 1 cited

Each topological group embeds into a duoseparable topological group

Taras Banakh, Igor Guran, Alex Ravsky

A topological group $X$ is called $d u ose p a r ab l e$ if there exists a countable set $S \subseteq X$ such that $S U S = X$ for any neighborhood $U \subseteq X$ of the unit. We construct a fu…