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dc.contributor.author |
Protasov, I. |
|
dc.contributor.author |
Slobodianiuk, S. |
|
dc.date.accessioned |
2019-06-10T11:00:28Z |
|
dc.date.available |
2019-06-10T11:00:28Z |
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dc.date.issued |
2014 |
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dc.identifier.citation |
On the subset combinatorics of G-spaces / I. Protasov, S. Slobodianiuk // Algebra and Discrete Mathematics. — 2014. — Vol. 17, № 1. — С. 98–109. — Бібліогр.: 16 назв. — англ. |
uk_UA |
dc.identifier.issn |
1726-3255 |
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dc.identifier.other |
2010 MSC:20F69, 22A15, 54D35. |
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dc.identifier.uri |
http://dspace.nbuv.gov.ua/handle/123456789/152346 |
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dc.description.abstract |
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 derivations of subsets of X. Using the standard action of G on the Stone-ˇCech compactification βX of the discrete space X, we characterize the points p ∈ βX isolated in Gp and describe a size of a subset of X in terms of its ultracompanions in βX. We introduce and characterize scattered and sparse subsets of X from different points of view. |
uk_UA |
dc.language.iso |
en |
uk_UA |
dc.publisher |
Інститут прикладної математики і механіки НАН України |
uk_UA |
dc.relation.ispartof |
Algebra and Discrete Mathematics |
|
dc.title |
On the subset combinatorics of G-spaces |
uk_UA |
dc.type |
Article |
uk_UA |
dc.status |
published earlier |
uk_UA |
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