S. Slobodianiuk

activity

20102013

most citedDensities, submeasures and partitions of groups

3 citations · 3 across the 4 of their papers we have counts for

collaborators

4 papers

math.CO2013

On partitions of G-spaces and G-lattices

Taras Banakh, Oleksandr Ravsky, Sergiy Slobodianiuk

Given a $G$ -space $X$ and a non-trivial $G$ -invariant ideal $I$ of subsets of $X$ , we prove that for every partition $X = A_{1} \cup \dots \cup A_{n}$ of $X$ into $n \geq 2$ pieces there is 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…

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.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…

On partitions of G-spaces and G-lattices

Densities, submeasures and partitions of groups

Syndetic submeasures and partitions of G-spaces and groups

Kaleidoscopical Configurations in G-spaces

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