Перегляд Відділення математики за автором "Slobodianiuk, S."

Результати 1-3 з 3

Densities, submeasures and partitions of groups

Banakh, T.; Protasov, I.; Slobodianiuk, S. (Algebra and Discrete Mathematics, 2014)

In 1995 in Kourovka notebook the second author asked the following problem: is it true that for each partition G=A₁ ∪ ⋯ ∪ An of a group G there is a cell Ai of the partition such that G = FAiA⁻¹i for some set F ⊂ G of ...
On the subset combinatorics of G-spaces

Protasov, I.; Slobodianiuk, S. (Algebra and Discrete Mathematics, 2014)

Let G be a group and let X be a transitive G-space. We classify the subsets of X with respect to a translation invariant ideal J in the Boolean algebra of all subsets of X, introduce and apply the relative combinatorical ...
Prethick subsets in partitions of groups

Protasov, I.V.; Slobodianiuk, S. (Algebra and Discrete Mathematics, 2012)

A subset S of a group G is called thick if, for any finite subset F of G, there exists g ∈ G such that Fg ⊆ S, and k-prethick, k ∈ N if there exists a subset K of G such that |K| = k and KS is thick. For every finite ...

Результати 1-3 з 3

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