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

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Showing 2012 · math.GRShow all

3 papers · 2 filters

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.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.GR2012★ 16 cited

Algebraically determined topologies on permutation groups

Taras Banakh, Igor Guran, Igor Protasov

In this paper we answer several questions of Dikran Dikranjan about algebraically determined topologies on the group of (finitely supported) permutations of a set X.

The Solecki submeasures and densities on groups

Syndetic submeasures and partitions of G-spaces and groups

Algebraically determined topologies on permutation groups

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