I. Protasov

activity

20102021

most citedAlgebraically determined topologies on permutation groups

16 citations · 84 across the 49 of their papers we have counts for

collaborators

Showing 2013Show all

3 papers · 1 filter

math.CO2013★ 1 cited

Selective and Ramsey ultrafilters on $G$ -spaces

O. V. Petrenko, I. V. Protasov

Let $G$ be a group, $X$ be an infinite transitive $G$ -space. A free ultrafilter $\UU$ on $X$ is called $G$ -selective if, for any $G$ -invariant partition $\PP$ of $X$ , either one ce…

math.GR2013★ 6 cited

Ultracompanions of subsets of a group

I. Protasov, S. Slobodianiuk

Let $G$ be a group, $β G$ is the Stone- $C ˇ$ ech compactification of $β G$ endowed with the structure of a right topological semigroup, $G^{*} = β G ∖ G$ . Given any subset $A$ …

math.GR2013★ 3 cited

Densities, submeasures and partitions of groups

Taras Banakh, Igor Protasov, Sergiy Slobodianiuk

In 1995 in Kourovka notebook the second author asked the following problem: it is true that for each partition $G = A_{1} \cup \dots \cup A_{n}$ of a group $G$ there is a cell $A_{i}$ of the…

Selective and Ramsey ultrafilters on G-spaces

Ultracompanions of subsets of a group

Densities, submeasures and partitions of groups

Selective and Ramsey ultrafilters on $G$ -spaces