On $\tau^{*}$-Generalized $\beta$ closed sets in Topological Spaces -by C. Aruna and R. Selvi

# On $\tau^{*}$-Generalized $\beta$ closed sets in Topological Spaces-by C. Aruna and R. Selvi

Abstract: In this paper we introduce a new class of sets called $\tau^{*}$ generalized $\beta$ closed sets in topological spaces (briefly $\tau^{*}g\beta$ closed set) and also we discussed some of their properties. Further we obtained the concept of $\tau^{*}$ generalized $\beta$ continuity and $\tau^{*}$ generalized $\beta$ irresolute. We introduced $\tau^{*}$ generalized $\beta$ open map and $\tau^{*}$ generalized $\beta$ homeomorphism by using $\tau^{*}$ generalized $\beta$ open set. Also we studied a new class of compact and connected spaces by using $\tau^{*}$ generalized $\beta$ closed set.

Keywords: $\tau^{*}$-Generalized $\beta$ closed sets.

C. Aruna and R. Selvi, On $\tau^{*}$-Generalized $\beta$ closed sets in Topological Spaces, International Journal of Advances in Mathematics,