Uniform ball structures

dc.contributor.author	Protasov, I.V.
dc.date.accessioned	2019-06-16T15:32:41Z
dc.date.available	2019-06-16T15:32:41Z
dc.date.issued	2003
dc.identifier.citation	Uniform ball structures / I.V. Protasov // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 1. — С. 93–102. — Бібліогр.: 2 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2001 Mathematics Subject Classification: 03E99, 54A05, 54E15.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/155285
dc.description.abstract	A ball structure is a triple B = (X, P, B), where X, P are nonempty sets and, for all 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 introduce the class of uniform ball structures as an asymptotic counterpart of the class of uniform topological spaces. We show that every uniform ball structure can be approximated by metrizable ball structures. We also define two types of ball structures closed to being metrizable, and describe the extremal elements in the classes of ball structures with fixed support X.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	Uniform ball structures	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA