|
Algebra and Discrete Mathematics, 2008, выпуск 2, страницы 101–108
(Mi adm162)
|
|
|
|
Эта публикация цитируется в 6 научных статьях (всего в 6 статьях)
RESEARCH ARTICLE
Balleans of bounded geometry and G-spaces
Igor V. Protasov Kyiv Taras Shevchenko Univ. (for Department of Cybernetics), Volodimirska str., 64,
01033 Kyiv, Ukraine
Аннотация:
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 $X$.
Ключевые слова:
ballean, coarse equivalence, G-space.
Поступила в редакцию: 23.03.2008 Исправленный вариант: 23.03.2008
Образец цитирования:
Igor V. Protasov, “Balleans of bounded geometry and G-spaces”, Algebra Discrete Math., 2008, no. 2, 101–108
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/adm162 https://www.mathnet.ru/rus/adm/y2008/i2/p101
|
Статистика просмотров: |
Страница аннотации: | 135 | PDF полного текста: | 71 | Первая страница: | 1 |
|