On covering properties and generalized open sets in topological spaces. (English) Zbl 0713.54026

This paper is a survey of results concerning the properties ‘compact’ and ‘Lindelöf’ in the setting of generalized open sets. Most of the results presented have already appeared in the literature. We have, however, included also some improvements and some new results.


54D20 Noncompact covering properties (paracompact, Lindelöf, etc.)
54D30 Compactness
54A05 Topological spaces and generalizations (closure spaces, etc.)