Some counterexamples and properties on generalizations of Lindelöf spaces
An investigation of several generalizations of the notion of Lindelöf space (weakly Lindelöf, almost-Lindelöf and nearly-Lindelöf) are continued. In particular, some counterexamples are constructed to show that the generalizations are proper. Besides, it is introduced (based on the notion of quasi-regular open subset) and studied a new generalization of Lindelöf spaces -- the almost regular Lindelöf spaces.
scientific article; zbMATH DE number 930051