Various Concepts of spZc-open Sets in Topology

Abstract

Connectedness is one of the principal property in the study of topological spaces. Weierstrass introduced the notion of arcwise connectedness. However Cantor introduced the notion of Connectedness which we are using today. Connectedness is mainly used to distinguish topological spaces. In this book chapter, we introduce the concept of spZc-connectedness and separate sets using Zc-open sets. Some properties and theorems using spZc-continuous, spZc-irresolute through spZc –open sets are also discussed. We also introduce the concept of  spZc-open set strongly spZc-connectedness , spZc-continuum using  the concept of spZc-open sets. Some properties and theorems using locally spZc-connected space are also discussed.