A Note on the Hausdorff Number of Compact Topological Spaces

Abstract

The notion of Hausdorff number of a topological space is first introduced in \cite{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.

6 pages, accepted for publication in the 42nd Spring Conference of the Union of Bulgarian Mathematicians