On covering spaces with semi-regular sets. (English) Zbl 0992.54022

Summary: The aim of this paper is to introduce and study the concepts of \(rs\)-Lindelöf and countably \(rs\)-compact spaces via the notion of semi-regular sets as well as to investigate their relationships to some well-known classes of topological spaces.


54D20 Noncompact covering properties (paracompact, Lindelöf, etc.)
54H05 Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets)