I. Protasov

activity

20122021

most citedCoarse spaces, ultrafilters and dynamical systems

2 citations · 7 across the 22 of their papers we have counts for

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4 papers · 1 filter

math.GR2021

Coarse selectors of groups

Igor Protasov

For a group $G$ , $F_{G}$ denotes the set of all non-empty finite subsets of $G$ . We extend the finitary coarse structure of $G$ from $G \times G$ to $\mathcal{F}_G\times \ma…

math.GR2020

The dynamical approach to the conjugacy in groups

Igor Protasov, Ksenia Protasova

Given a discrete group $G$ , we identify the Stone- $C ˇ$ ech compactification $β G$ with the set of all ultrafilters on $G$ and put $G^{*} = β G ∖ G$ . The action $G$ on $G$ …

math.GR2018

Functional boundedness of balleans

Taras Banakh, Igor Protasov

We pose some open problems related to boundedness of real-valued functions on balleans and coarse spaces. Also we prove that the Bergman property of groups is a coarse invariant. A…

math.GR2016

Let $G$ , $H$ be groups and $κ$ be a cardinal. A bijection $f : G \to H$ is caled on asymorphism if, for any $X \in [G]^{< κ}$ , $Y \in [H]^{< κ}$ , there exist $X^{'} \in [G]^{< κ}$ , $Y'\in[H]^{<κ}…

Coarse selectors of groups

The dynamical approach to the conjugacy in groups

Functional boundedness of balleans

On asymorphisms of groups