SC*-Normal spaces and some functions
General Topology
2025-05-13 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2505.06562,
title = {SC*-Normal spaces and some functions},
author = {Neeraj Kumar Tomar and Fahed Zulfeqarr and M. C. Sharma},
journal= {arXiv preprint arXiv:2505.06562},
year = {2025}
}