On the subset combinatorics of G-spaces
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...
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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2014 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2014
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/152346 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
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nasplib_isofts_kiev_ua-123456789-152346 |
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Protasov, I. Slobodianiuk, S. 2019-06-10T11:00:28Z 2019-06-10T11:00:28Z 2014 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. 1726-3255 2010 MSC:20F69, 22A15, 54D35. https://nasplib.isofts.kiev.ua/handle/123456789/152346 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On the subset combinatorics of G-spaces Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
On the subset combinatorics of G-spaces |
| spellingShingle |
On the subset combinatorics of G-spaces Protasov, I. Slobodianiuk, S. |
| title_short |
On the subset combinatorics of G-spaces |
| title_full |
On the subset combinatorics of G-spaces |
| title_fullStr |
On the subset combinatorics of G-spaces |
| title_full_unstemmed |
On the subset combinatorics of G-spaces |
| title_sort |
on the subset combinatorics of g-spaces |
| author |
Protasov, I. Slobodianiuk, S. |
| author_facet |
Protasov, I. Slobodianiuk, S. |
| publishDate |
2014 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/152346 |
| citation_txt |
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. |
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AT protasovi onthesubsetcombinatoricsofgspaces AT slobodianiuks onthesubsetcombinatoricsofgspaces |
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2025-12-02T04:28:16Z |
| last_indexed |
2025-12-02T04:28:16Z |
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1850861529675595776 |