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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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2014 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2014
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/152346 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862656410771259392 |
|---|---|
| author | Protasov, I. Slobodianiuk, S. |
| author_facet | Protasov, I. Slobodianiuk, S. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-12-02T04:28:16Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152346 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-02T04:28:16Z |
| publishDate | 2014 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | On the subset combinatorics of G-spaces Protasov, I. Slobodianiuk, S. |
| title | 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_short | On the subset combinatorics of G-spaces |
| title_sort | on the subset combinatorics of g-spaces |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152346 |
| work_keys_str_mv | AT protasovi onthesubsetcombinatoricsofgspaces AT slobodianiuks onthesubsetcombinatoricsofgspaces |