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Перегляд Український математичний журнал за автором "Protasov, I.V."

Репозиторій DSpace/Manakin

Перегляд Український математичний журнал за автором "Protasov, I.V."

Сортувати за: Порядок: Результатів:

  • Balleans and G-spaces 
    Petrenko, O.V.; Protasov, I.V. (Український математичний журнал, 2012)
    We show that every ballean (equivalently, coarse structure) on a set X can be determined by some group G of permutations of X and some group ideal I on G. We refine this characterization for some basic classes of balleans ...
  • Morphisms of Ball's Structures of Groups and Graphs 
    Protasov, I.V. (Український математичний журнал, 2002)
    We introduce and study two kinds of morphisms between ball's structures related to groups and graphs.
  • Relatively thin and sparse subsets of groups 
    Lutsenko, Ie.; Protasov, I.V. (Український математичний журнал, 2011)
    Let G be a group with identity e and let I be a left-invariant ideal in the Boolean algebra PG of all subsets of G. A subset A of G is called I-thin if gA⋂A∈I for every g∈G {e}. A subset A of G is called I-sparse if, for ...
  • Scattered Subsets of Groups 
    Banakh, T.O.; Protasov, I.V.; Slobodianiuk, S.V. (Український математичний журнал, 2015)
    We define scattered subsets of a group as asymptotic counterparts of the scattered subspaces of a topological space and prove that a subset A of a group G is scattered if and only if A does not contain any piecewise shifted ...
  • Thin Subsets of Groups 
    Protasov, I.V.; Slobodyanyuk, S. (Український математичний журнал, 2013)
    For a group G and a natural number m, a subset A of G is called m-thin if, for each finite subset F of G, there exists a finite subset K of G such that |Fg ∩ A| ≤ m for all g ∈ G \ K. We show that each m-thin subset of an ...
  • Ultrafilters on balleans 
    Protasov, I.V.; Slobodianiuk, S.V. (Український математичний журнал, 2015)
    A ballean (equivalently, a coarse structure) is an asymptotic counterpart of a uniform space. We introduce three ultrafilter satellites of a ballean (namely, corona, companion, and corona companion), evaluate the basic ...

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