Uniform ball structures

Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/52

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DC Field	Value	Language
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
Appears in Collections:	Статті

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