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Algebra and Discrete Mathematics, 2002, Issue 1, Pages 129–141 (Mi adm403)  

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
Full-text PDF (177 kB) Citations (3)
Abstract: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
Bibliographic databases:
Document Type: Article
Language: English
Citation: I. V. Protasov, “Metrizable ball structures”, Algebra Discrete Math., 2002, no. 1, 129–141
Citation in format AMSBIB
\Bibitem{Pro02}
\by I.~V.~Protasov
\paper Metrizable ball structures
\jour Algebra Discrete Math.
\yr 2002
\issue 1
\pages 129--141
\mathnet{http://mi.mathnet.ru/adm403}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2048652}
\zmath{https://zbmath.org/?q=an:1038.54001}
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  • https://www.mathnet.ru/eng/adm/y2002/i1/p129
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Algebra and Discrete Mathematics
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    Full-text PDF :78
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