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The notion of Hausdorff number of a topological space is first introduced in\cite{bonan}, with the main objective of using this notion to obtaingeneralizations of some known bounds for cardinality of topological spaces.Here we consider this notion from a topological point of view and examineinterrelations of the Hausdorff number with compactness.

A Note on the Hausdorff Number of Compact Topological Spaces