Abstract:
In this paper we introduced a new class of closed sets in a topological space called &pi - generalized b*-closed sets (briefly Πgb*-closed sets) and some of its characteristics are investigated. Further we studied the concepts of Πgb*-open sets and Πgb*- T1/2 space.

Keywords: Πgb*-closed, Πgb*- T1/2 space, Πgb*-open, Πgb*-closure operator.