SC*-Normal spaces and some functions

Neeraj Kumar Tomar, Fahed Zulfeqarr, M. C. Sharma

Published 2025-05-10Version 1

In this paper, we introduce and explore a new class of topological spaces termed as SC*-normal spaces, defined via SC*-open sets. The concept of SC*-normality is analyzed in relation to classical notions such as normal spaces and g-normal spaces. We further define and examine generalized forms of SC*-closed functions, including SC*-generalized closed mappings, and investigate their fundamental properties. Several characterizations of SC*-normal spaces are established, and various preservation theorems under different types of functions are also presented.