Q*-REGULAR SPACES

In this paper, we introduce and study a new class of generalized regular space is called Q*-regular space which is weaker than regularity. The relationships among strongly rg-regular, g-regular, regular, Q*-regular, almost regular and softly regular spaces are investigated. Some of basic properties and characterizations of Q*-regular spaces in the terms of other separation and countability axioms such as semi regular, Hausdorff, separable, second countable and Lindelof spaces are obtained.