On σ-starcompact spaces

Abstract

A space X is σ-starcompact if for every open cover U of X, there exists a σ-compact subset C of X such that St(C, U) = X. We investigate the relations between σ-starcompact spaces and other related spaces, and also study topological properties of σ-starcompact spaces.

Keywords

• Lindelöf
• σ-starcompact
• L-starcompact