Uniform ball structures

dc.contributor.author	Protasov, I. V.
dc.date.accessioned	2015-10-19T12:36:40Z
dc.date.available	2015-10-19T12:36:40Z
dc.date.issued	2003-01-31
dc.identifier.uri	http://hdl.handle.net/123456789/52
dc.description	A ball structure is a triple B = (X, P,B), where X, P are nonempty sets and, for all x ∈ X, ® ∈ P, B(x, ®) is a subset of X, x ∈ B(x, ®), which is called a ball of radius ® 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	Луганский национальный университет им. Т. Шевченко	uk_UA
dc.title	Uniform ball structures	uk_UA
dc.type	Article	uk_UA