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 2012Show all

15 papers · 1 filter

math.GR2012★ 2 cited

The Solecki submeasures and densities on groups

Taras Banakh

We introduce the Solecki submeasure $σ (A) = in f_{F} sup_{x, y \in G} ∣ F \cap x A y ∣/∣ F ∣$ and its left and right modifications on a group $G$ , and study the interplay between the Solecki sub…

math.MG2012★ 4 cited

Asymptotic dimension and small subsets in locally compact topological groups

Taras Banakh, Ostap Chervak, Nadya Lyaskovska

We prove that for a coarse space $X$ the ideal $S (X)$ of small subsets of $X$ coincides with the ideal $D_{<} (X)$ of subsets $A \subset X$ of asymptotic dimension $a s d im (A) < a s d im (X)$ …

math.GR2012

Syndetic submeasures and partitions of $G$ -spaces and groups

Taras Banakh, Igor Protasov, Sergiy Slobodianiuk

We prove that for every number k each countable infinite group $G$ admits a partition $G = A \cup B$ into two sets which are $k$ -meager in the sense that for every $k$ -element subset…

math.LO2012

Large free sets in universal algebras

Taras Banakh, Artur Bartoszewicz, Szymon Głab

We prove that for each universal algebra $(A, A)$ of cardinality $∣ A ∣ \geq 2$ and an infinite set $X$ of cardinality $∣ X ∣ \geq ∣ A ∣$ , the $X$ -th power $(A^X,\mathcal A^X…

math.GN2012★ 1 cited

The continuity properties of compact-preserving functions

Taras Banakh, Artur Bartoszewicz, Marek Bienias +1

A function $f : X \to Y$ between topological spaces is called {\em compact-preserving} if the image $f (K)$ of each compact subset $K \subset X$ is compact. We prove that a function $f:…

math.GN2012★ 2 cited

On $\infty$ -convex sets in spaces of scatteredly continuous functions

Taras Banakh, Bogdan Bokalo, Nadiya Kolos

Given a topological space $X$ , we study the structure of $\infty$ -convex subsets in the space $S C_{p} (X)$ of scatteredly continuous functions on $X$ . Our main result says that for a…