I. Banakh

activity

20102023

most citedOn Local Convexity Of Nonlinear Mappings Between Banach Spaces

2 citations · 4 across the 10 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.GR2020

A semigroup is finite if and only if it is chain-finite and antichain-finite

Iryna Banakh, Taras Banakh, Serhii Bardyla

A subset $A$ of a semigroup $S$ is called a $c hain$ ( $an t i c hain$ ) if $x y \in {x, y}$ ( $x y \in / {x, y}$ ) for any (distinct) elements $x, y \in S$ . A semigroup $S$ is called ( $an t i$ )$c…

math.GN2020

The completion of the hyperspace of finite subsets, endowed with the $ℓ^{1}$ -metric

Iryna Banakh, Taras Banakh, Joanna Garbulińska-Wȩgrzyn

For a metric space $X$ , let $F X$ be the space of all nonempty finite subsets of $X$ endowed with the largest metric $d_{F X}^{1}$ such that for every $n \in N$ t…

math.GN2020

On the asymptotic dimension of products of coarse spaces

Iryna Banakh, Taras Banakh

We prove that for any coarse spaces $X_{1}, \dots, X_{n}$ of asymptotic dimension $\geq 1$ , the product $X = X_{1} \times \dots \times X_{n}$ has asymptotic dimension $\geq n$ . Another result state…

A semigroup is finite if and only if it is chain-finite and antichain-finite

The completion of the hyperspace of finite subsets, endowed with the ℓ1-metric

On the asymptotic dimension of products of coarse spaces

The completion of the hyperspace of finite subsets, endowed with the $ℓ^{1}$ -metric