Binary coronas of balleans

Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/78

Title:	Binary coronas of balleans
Authors:	Protasov, I. V.
Issue Date:	2003
Publisher:	Луганский национальный университет им. Т. Шевченко
Description:	A ballean B is a set X endowed with some family of subsets of X which are called the balls. We postulate the prop- erties of the family of balls in such a way that a ballean can be considered as an asymptotic counterpart of a uniform topological space. Using slow oscillating functions from X to {0, 1}, we define a zero-dimensional compact space which is called a binary corona of B. We define a class of binary normal ballean and, for every bal- lean from this class, give an intrinsic characterization of its binary corona. The class of binary normal balleans contains all balleans of graph. We show that a ballean of graph is a projective limit of some sequence of ˘ Cech-Stone compactifications of discrete spaces. The obtained results witness that a binary corona of balleans can be interpreted as a "generalized space of ends" of ballean.
URI:	http://hdl.handle.net/123456789/78
Appears in Collections:	Статті

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