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A Note on the Hausdorff Number of Compact Topological Spaces

2012/12/21 by Petra Staynova, Staynova, Petra
Mathematics · Decision Sciences · #Advanced Topology and Set Theory #Fuzzy and Soft Set Theory

paper · pdf · doi:10.48550/arxiv.1212.5597

Abstract

The notion of Hausdorff number of a topological space is first introduced in \citebonan, with the main objective of using this notion to obtain generalizations of some known bounds for cardinality of topological spaces. Here we consider this notion from a topological point of view and examine interrelations of the Hausdorff number with compactness.

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