Geodesic
Extraresolvability of balleans
Commentationes Mathematicae Universitatis Carolinae, Tome 48 (2007) no. 1, pp. 167-175

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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.
Classification : 05A18, 54A25, 54A35, 54E15
Keywords: ball structure; ballean; resolvability; extraresolvability 
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Protasov, I. V. Extraresolvability of balleans. Commentationes Mathematicae Universitatis Carolinae, Tome 48 (2007) no. 1, pp. 167-175. http://geodesic.mathdoc.fr/item/CMUC_2007__48_1_a12/