This article is cited 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

Language: English

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