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

collaborators

Showing 2017Show all

12 papers · 1 filter

math.GN2017

The connected countable spaces of Bing and Ritter are topologically homogeneous

Iryna Banakh, Taras Banakh, Olena Hryniv +1

Answering a problem posed by the second author on Mathoverflow, we prove that the connected countable Hausdorff spaces constructed by Bing and Ritter are topologically homogeneous.

math.FA2017

A simple inductive proof of Levy-Steinitz theorem

Taras Banakh

We present a relatively simple inductive proof of the classical Levy-Steinitz Theorem saying that for a sequence $(x_{n})_{n = 1}^{\infty}$ in a finite-dimensional Banach space $X$ the s…

math.GN2017★ 12 cited

Categorically closed topological groups

Taras Banakh

Let $C$ be a subcategory of the category of topologized semigroups and their partial continuous homomorphisms. An object $X$ of the category $C$ is called ${\ma…

math.GN2017★ 7 cited

A quantitative generalization of Prodanov-Stoyanov Theorem on minimal Abelian topological groups

Taras Banakh

A topological group $X$ is defined to have $co m p a c t$ $e x p o n e n t$ if for some number $n \in N$ the set ${x^{n} : x \in X}$ has compact closure in $X$ . Any such number $n$ will be…

math.GN2017★ 11 cited

Null-finite sets in metric groups and their applications

Taras Banakh, Eliza Jabłońska

In the paper we introduce a new family of "small" sets which is tightly connected with two well known $σ$ -ideals: of Haar-null sets and of Haar-meager sets. We define a subset $A$ …

math.GN2017★ 1 cited

Lower separation axioms via Borel and Baire algebras

Taras Banakh, Adam Bartoš

Let $κ$ be an infinite regular cardinal. We define a topological space $X$ to be $T_{κ - B or e l}$ -space (resp. a $T_{κ - B P}$ -space) if for every $x \in X$ the singleton ${x}$ belongs…