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Article

Protasov, I. V.
Extraresolvability of balleans. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 48 (2007), issue 1, pp. 167-175
MSC: 05A18, 54A25, 54A35, 54E15 | MR 2338837 | Zbl 1199.54033
Keywords:
ball structure; ballean; resolvability; extraresolvability
Summary:
A ballean is a set endowed with some family of balls in such a way that a ballean can be considered as an asymptotic counterpart of a uniform topological space. We introduce and study a new cardinal invariant of a ballean, the extraresolvability, which is an asymptotic reflection of the corresponding invariant of a topological space.
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