I. Protasov

activity

20122021

most citedCoarse spaces, ultrafilters and dynamical systems

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

collaborators

Showing 2015Show all

2 papers · 1 filter

math.LO2015

Ultrafilters on $G$ -spaces

Oleksandr Petrenko, Igor Protasov

For a discrete group $G$ and a discrete $G$ -space $X$ , we identify the Stone-Čech compactifications $β G$ and $β X$ with the sets of all ultrafilters on $G$ and $X$ , and apply the na…

math.GN2015★ 1 cited

Relative size of subsets of a semigroup

Igor Protasov, Serhii Slobodianiuk

Given a semigroup $S$ , we introduce relative (with respect to a filter $τ$ on $S$ ) versions of large, thick and prethick subsets of $S$ , give the ultrafilter characterizations of t…

Ultrafilters on G-spaces

Relative size of subsets of a semigroup

Ultrafilters on $G$ -spaces