Some counterexamples and properties on subspaces of generalized regular-Lindelof spaces

Abstract

In this paper we study subspaces of some generalizations of Lindelof spaces; namely, subspaces of nearly regular-Lindelof, subspaces of almost regular-Lindelof and subspaces of weakly regular-Lindelof spaces. We then give some properties on these subspaces. Several illustrative examples are also considered in order to establish some relations within these subspaces.