Nano S_β-Connectedness in Nano Topological Spaces

Abstract

The aim of this study is to introduce the notions of nano Sβ-connected, nano Sβ-hyperconnected and nano Sβ-ultraconnected by using all forms of nano Sβ-open sets in nano topological spaces. Then, we study their relationship and show that if a nano topological space is nSβ-connected, W is also nano connected space but not the converse. Also, we study each notion in terms of upper, lower, and boundary approximations.