• B(1, 2) +-πgα-REGULAR AND NORMAL SPACES IN SIMPLE EXPANSION

Abstract

In this paper, we generalize the concept of simple expansion due to Levine to the bitopological setting. Also, we present some new classes of set and spaces namely, B(1, 2) ⁺-πgα-closed set, B (1, 2) ⁺-πgα-Regular and Normal Spaces. Here, we define the notion of (1, 2)*-πgα-closed sets in the extended topology as a subset A of a space X is called B(1, 2) ⁺-πgα-closed set if B(1, 2) ⁺-αcl (A) U whenever A U and U is τ_{1, 2}-π-open in X. This class of sets and spaces not only depend on (1, 2)*-topology, but also on its simple expansion. Further, we discuss their properties and some of their characterizations are obtained in the light of B (1, 2) ⁺-πgα-closed sets.