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Algebra and Discrete Mathematics, 2002, Issue 1, Pages 129–141
(Mi adm403)
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This article is cited in 3 scientific papers (total in 3 papers)
RESEARCH ARTICLE
Metrizable ball structures
I. V. Protasov Kyiv Taras Shevchenko University, Ukraine
Abstract:
A ball structure is a triple $(X,P,B)$, where $X$, $P$ are nonempty sets and, for any $x\in X$, $\alpha\in P$, $B(x,\alpha)$ is a subset of $X$, $x\in B(x,\alpha)$, which is called a ball of radius $\alpha$ around $x$. We characterize up to isomorphism the ball structures related to the metric spaces of different types and groups.
Keywords:
ball structure, ball isomorphism, metrizablility.
Received: 24.09.2002
Citation:
I. V. Protasov, “Metrizable ball structures”, Algebra Discrete Math., 2002, no. 1, 129–141
Linking options:
https://www.mathnet.ru/eng/adm403 https://www.mathnet.ru/eng/adm/y2002/i1/p129
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Abstract page: | 140 | Full-text PDF : | 78 | First page: | 1 |
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