On a Weaker Form of Countable Compactness

Original Articles

On a Weaker Form of Countable Compactness

Published in: Quaestiones Mathematicae
Volume 30 , issue 4 , 2007 , pages: 407–415
DOI: 10.2989/16073600709486209
Author(s): Maddalena Bonanzinga , Filippo Cammaroto , MikhailV. Matveev
Keywords: STARCOMPACT , WEAKLY STARCOMPACT , COUNTABLY COMPACT , URYSHON , N-URYSOHN , ORTHOGONAL POINTS
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Abstract

A star covering property which is equivalent to countable compactness for regular spaces and weaker than countable compactness for Hausdorff spaces is introduced and considered. Various kinds of irregularity of topological spaces are discussed.
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