In this paper, we introduce a new class of sets called ψg*-closed sets in topological spaces. A subset A of X is said to be ψg*-closed if ψCl(A) U whenever A U and U is g*-open in X. Also we study some of its basic properties and investigate the relationship with other existing closed sets in topological space. As an application, we introduce four new spaces namely Tψg*-space and gTψg*-space
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