A Note on the Hausdorff Number of Compact Topological Spaces

Abstract

The notion of Hausdorff number of a topological space is first introduced in bonan, 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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