Abstract
In this paper, we introduced a new class of sets called γ*-generalized-pre-regular-closed (open) sets and its properties are studied. Also we obtained the notions of γ*-pre-regular- spaces and investigated some of its basic properties. In addition we defined γ*-pre-D sets and γ*-pre-Di spaces (i = 0, 1, 2) using γ*-pre-open sets and discussed their properties comprehensively analyzed their relationship.
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