Metrizable ball structures

A ball structure is a triple (X, P, B), where X, P
 are nonempty sets and, for any x ∈ X, α ∈ P, B(x, α) is a subset
 of X, x ∈ B(x, α), which is called a ball of radius α around x. We
 characterize up to isomorphism the ball structures related to the
 metric spaces o...

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Published in:Algebra and Discrete Mathematics
Date:2002
Main Author: Protasov, I.V.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2002
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/157658
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Metrizable ball structures / I.V. Protasov // Algebra and Discrete Mathematics. — 2002. — Vol. 1, № 1. — С. 129–141. — Бібліогр.: 5 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Protasov, I.V.
author_facet Protasov, I.V.
citation_txt Metrizable ball structures / I.V. Protasov // Algebra and Discrete Mathematics. — 2002. — Vol. 1, № 1. — С. 129–141. — Бібліогр.: 5 назв. — англ.
collection DSpace DC
container_title Algebra and Discrete Mathematics
description A ball structure is a triple (X, P, B), where X, P
 are nonempty sets and, for any x ∈ X, α ∈ P, B(x, α) is a subset
 of X, x ∈ B(x, α), which is called a ball of radius α around x. We
 characterize up to isomorphism the ball structures related to the
 metric spaces of different types and groups.
first_indexed 2025-11-25T20:56:21Z
format Article
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id nasplib_isofts_kiev_ua-123456789-157658
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1726-3255
language English
last_indexed 2025-11-25T20:56:21Z
publishDate 2002
publisher Інститут прикладної математики і механіки НАН України
record_format dspace
spelling Protasov, I.V.
2019-06-20T15:15:42Z
2019-06-20T15:15:42Z
2002
Metrizable ball structures / I.V. Protasov // Algebra and Discrete Mathematics. — 2002. — Vol. 1, № 1. — С. 129–141. — Бібліогр.: 5 назв. — англ.
1726-3255
2001 Mathematics Subject Classification 54E35, 05C75.
https://nasplib.isofts.kiev.ua/handle/123456789/157658
A ball structure is a triple (X, P, B), where X, P
 are nonempty sets and, for any x ∈ X, α ∈ P, B(x, α) is a subset
 of X, x ∈ B(x, α), which is called a ball of radius α around x. We
 characterize up to isomorphism the ball structures related to the
 metric spaces of different types and groups.
en
Інститут прикладної математики і механіки НАН України
Algebra and Discrete Mathematics
Metrizable ball structures
Article
published earlier
spellingShingle Metrizable ball structures
Protasov, I.V.
title Metrizable ball structures
title_full Metrizable ball structures
title_fullStr Metrizable ball structures
title_full_unstemmed Metrizable ball structures
title_short Metrizable ball structures
title_sort metrizable ball structures
url https://nasplib.isofts.kiev.ua/handle/123456789/157658
work_keys_str_mv AT protasoviv metrizableballstructures