Research Article

On almost star σ-compact spaces

DOI: 10.2989/16073606.2019.1606861
Author(s): Yan-Kui Song , P.R. China, Wei-Feng Xuan , P.R. China,
Keywords: 54D20, 54C10, 54D20, 54C10,

Abstract

A space X is almost star σ-compact (weakly star σ-compact) if for each open cover ???? of X, there exists a σ-compact subset F of X such that . In this paper, we investigate the relationships among star σ-compact spaces, almost star σ-compact spaces and weakly star σ-compact spaces, and also study topological properties of almost star σ-compact spaces.

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