Some notes on quasi-Lindelöf spaces

Abstract

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

Mathematics Subject Classification (2010):

• 54D20
• 54E18

Key words:

• Lindelöf
• almost Lindelöf
• weakly Lindelöf
• quasi-Lindelöf