I. Banakh

collaborators

3 papers

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…

math.GN2018

The continuity of Darboux injections between manifolds

Iryna Banakh, Taras Banakh

We prove that an injective map $f : X \to Y$ between connected metrizable spaces $X, Y$ is continuous if for every connected subset $C \subset X$ the image $f (C)$ is connected and one o…

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

On the asymptotic dimension of products of coarse spaces

The continuity of Darboux injections between manifolds

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