Binary coronas of balleans

dc.contributor.author	Protasov, I. V.
dc.date.accessioned	2015-10-21T10:39:43Z
dc.date.available	2015-10-21T10:39:43Z
dc.date.issued	2003
dc.identifier.uri	http://hdl.handle.net/123456789/78
dc.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.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Луганский национальный университет им. Т. Шевченко	uk_UA
dc.title	Binary coronas of balleans	uk_UA
dc.type	Article	uk_UA

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This is a special issue of the journal devoted to the jubilee of the outstanding Ukrainian and Russian mathematician, one of the founder of our journal Professor Rostislav Grigorchuk, who was 50 years of age on February 23, 2003.