On $\pi g^\ast\beta$-closed sets in topological spaces

Abstract

In this paper, we introduced a new class of closed sets in a topological spaces called $\pi$ generalized star $\beta$-closed sets(briefly $\pi g^\ast \beta$-closed set) and some of its characteristics are studied. Further we studied the concepts of $\pi g^\ast \beta$-open sets and $\pi g^\ast \beta-T_{\frac{1}{2}}$ spaces.