Various Concepts of spZc-open Sets in Topology | Chapter 4 | Current Topics on Mathematics and Computer Science Vol. 7

One of the most important properties in the study of topological spaces is connectedness. The concept of arcwise connectivity was introduced by Weierstrass. Cantor, on the other hand, coined the term "connectedness," which we still use today. Topological spaces are distinguished primarily by their connectedness. We introduce the notion of spZc-connectedness and separate sets using Zc-open sets in this book chapter. There are also several properties and theorems employing spZc-continuous, spZc-irresolute, and spZc –open sets. We also offer the spZc-open set concept. Using the idea of spZc-open sets, highly spZc-connectedness and spZc-continuum are achieved. Some locally spZc-connected space characteristics and theorems are also explored.

Author (S) Details

R. M. Sivagama Sundari
Department of Mathematics, Alagappa Govt. Arts College, Karaikudi-630003, Tamil Nadu, India.

A. P. Dhana Balan
Department of Mathematics, Alagappa Govt. Arts College, Karaikudi-630003, Tamil Nadu, India.

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