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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| Дата: | 2018 |
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| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1076 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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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 |
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Algebra and Discrete Mathematics |
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2018-03-22T09:39:19Z |
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OJS |
| language |
English |
| topic |
ballean coarse equivalence G-space 37B05 54E15 |
| spellingShingle |
ballean coarse equivalence G-space 37B05 54E15 Protasov, Igor V. Balleans of bounded geometry and G-spaces |
| topic_facet |
ballean coarse equivalence G-space 37B05 54E15 |
| format |
Article |
| author |
Protasov, Igor V. |
| author_facet |
Protasov, Igor V. |
| author_sort |
Protasov, Igor 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 |
| 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 \(X\). |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1076 |
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AT protasovigorv balleansofboundedgeometryandgspaces |
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2025-12-02T15:41:48Z |
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2025-12-02T15:41:48Z |
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1850411695196864512 |