Some notes on Quasi-Lindelof spaces

Abstract

In this note we address a problem that was suggested by Petra Staynova in [6] regarding quasi-Lindelof spaces, and continue to study topological properties of quasi-Lindelof spaces. In particular, we construct an example of a Tychonoff weakly Lindelof space which is not quasi-Lindelof.

Mathematics Subject Classication (2010): 54D20, 54E18.

Key words: Lindelof, almost Lindelof, weakly Lindelof, quasi-Lindelof.