Metrizable ball structures

• 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
• 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.

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....