Abstract: In this Paper we introduce a new class of sets called p generalized ^ b*-closed set (briefly pg^b*-closed) and some of its characteristics are investigated. Further we studied the concepts of pg^b*-open sets and pg^b*-T1/2 space.

Keywords: pg^b*-closed sets, pg^b*-open sets, pg^b*-T1/2 space, pg^b*-closure operator.