SC*-Regular spaces and some functions
General Topology
2025-05-16 v1
Abstract
This paper introduces a novel class of topological spaces, termed SC*-regular spaces, which are defined using SC*-open sets. We explore their fundamental properties and examine their connections with existing regularity concepts, such as regular, almost, softly, weakly, alpha, zeta, and generalized-regular spaces respectively. Furthermore, we examined and define, analyze generalized SC*-closed sets and SC*-generalized closed functions, establishing key properties and preservation theorems. Several characterizations of SC*-regular spaces are also presented, providing new insights into generalized regularity in topology.
Cite
@article{arxiv.2505.09951,
title = {SC*-Regular spaces and some functions},
author = {Neeraj Kumar Tomar and Amit Ujlayan and M. C. Sharma},
journal= {arXiv preprint arXiv:2505.09951},
year = {2025}
}