Compactness and Connectedness in Beta Weakly Semi – Closed Sets in Topological Spaces

Abstract

This research presents an innovative class of Beta weakly semi-CS, namely Compactness and Connectedness in Beta weakly semi-CS in TS. Throughout this paper, bws-Compactness and bws-Connectedness were examined to get the fundamental facts in the Beta weakly semi-CS. In this paper, the notion of countable βws- compact in TS were explored and bws – Connectedness ( in TS were also studied to get results.  The bws -  and bws – Compactness fulfilled most of the connectedness and compactness properties in TS. Here, many characterizations were obtained along with some of their features. The paper concludes on how it relates to other kinds of functions and beta ws-Compactness in TS and its characteristics were studied to obtain results theoretically.