O. Petrenko

activity

20102015

most citedSelective and Ramsey ultrafilters on

G

-spaces

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

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.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.CO2010

Kaleidoscopical Configurations in G-spaces

T. O. Banakh, O. Petrenko, I. V. Protasov +1

Let $G$ be a group and $X$ be a $G$ -space. A subset $F$ of $X$ is called a kaleidoscopical configuration if there exists a surjective coloring $χ : X \to Y$ such that the restriction…

Ultrafilters on G-spaces

Selective and Ramsey ultrafilters on G-spaces

Kaleidoscopical Configurations in G-spaces

Ultrafilters on $G$ -spaces

Selective and Ramsey ultrafilters on $G$ -spaces