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 th...
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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2008 |
| ISSN: | 1726-3255 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2008
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/153361 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862751142949158912 |
|---|---|
| author | Protasov, I.V. |
| author_facet | Protasov, I.V. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-12-07T21:09:51Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-153361 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T21:09:51Z |
| publishDate | 2008 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Protasov, I.V. 2019-06-14T03:35:28Z 2019-06-14T03:35:28Z 2008 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. https://nasplib.isofts.kiev.ua/handle/123456789/153361 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. Thanks to my daughters. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Balleans of bounded geometry and G-spaces Article published earlier |
| spellingShingle | Balleans of bounded geometry and G-spaces Protasov, I.V. |
| title | 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_short | Balleans of bounded geometry and G-spaces |
| title_sort | balleans of bounded geometry and g-spaces |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/153361 |
| work_keys_str_mv | AT protasoviv balleansofboundedgeometryandgspaces |