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Balleans of bounded geometry and G-spaces
A ballean (or a coarse structure) is a set endowed with some family of subsets which are called the balls. The properties of the family of balls are postulated in such a way that a ballean can be considered as an asymptotical counterpart of a uniform topological space. We prove that every ballean...
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Інститут прикладної математики і механіки НАН України
2008
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/153361 |
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irk-123456789-1533612019-06-15T01:25:42Z Balleans of bounded geometry and G-spaces Protasov, I.V. A ballean (or a coarse structure) is a set endowed with some family of subsets which are called the balls. The properties of the family of balls are postulated in such a way that a ballean can be considered as an asymptotical counterpart of a uniform topological space. We prove that every ballean of bounded geometry is coarsely equivalent to a ballean on some set X determined by some group of permutations of X. 2008 Article Balleans of bounded geometry and G-spaces / I.V. Protasov // Algebra and Discrete Mathematics. — 2008. — Vol. 7, № 2. — С. 101–108. — Бібліогр.: 8 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 37B05, 54E15. http://dspace.nbuv.gov.ua/handle/123456789/153361 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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English |
| description |
A ballean (or a coarse structure) is a set endowed with some family of subsets which are called the balls. The properties of the family of balls are postulated in such a way that a ballean can be considered as an asymptotical counterpart of a uniform topological space.
We prove that every ballean of bounded geometry is coarsely equivalent to a ballean on some set X
determined by some group of permutations of X. |
| format |
Article |
| author |
Protasov, I.V. |
| spellingShingle |
Protasov, I.V. Balleans of bounded geometry and G-spaces Algebra and Discrete Mathematics |
| author_facet |
Protasov, I.V. |
| author_sort |
Protasov, I.V. |
| title |
Balleans of bounded geometry and G-spaces |
| title_short |
Balleans of bounded geometry and G-spaces |
| title_full |
Balleans of bounded geometry and G-spaces |
| title_fullStr |
Balleans of bounded geometry and G-spaces |
| title_full_unstemmed |
Balleans of bounded geometry and G-spaces |
| title_sort |
balleans of bounded geometry and g-spaces |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2008 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/153361 |
| citation_txt |
Balleans of bounded geometry and G-spaces / I.V. Protasov // Algebra and Discrete Mathematics. — 2008. — Vol. 7, № 2. — С. 101–108. — Бібліогр.: 8 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT protasoviv balleansofboundedgeometryandgspaces |
| first_indexed |
2023-05-20T17:38:45Z |
| last_indexed |
2023-05-20T17:38:45Z |
| _version_ |
1796153759265456128 |