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 of...
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| Date: | 2018 |
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| Format: | Article |
| Language: | English |
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Lugansk National Taras Shevchenko University
2018
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| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1076 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543418145046528 |
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| author | Protasov, Igor V. |
| author_facet | Protasov, Igor V. |
| author_sort | Protasov, Igor V. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-03-22T09:39:19Z |
| 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 \(X\). |
| first_indexed | 2025-12-02T15:41:48Z |
| format | Article |
| id | admjournalluguniveduua-article-1076 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:41:48Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-10762018-03-22T09:39:19Z Balleans of bounded geometry and G-spaces Protasov, Igor V. ballean, coarse equivalence, G-space 37B05, 54E15 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 \(X\). Lugansk National Taras Shevchenko University 2018-03-22 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1076 Algebra and Discrete Mathematics; Vol 7, No 2 (2008) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1076/589 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | ballean coarse equivalence G-space 37B05 54E15 Protasov, Igor V. Balleans of bounded geometry and G-spaces |
| 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 |
| topic | ballean coarse equivalence G-space 37B05 54E15 |
| topic_facet | ballean coarse equivalence G-space 37B05 54E15 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1076 |
| work_keys_str_mv | AT protasovigorv balleansofboundedgeometryandgspaces |