English

Meekly SC*-Normal Spaces in Topological Spaces

General Topology 2026-02-18 v1

Abstract

This chapter develops the concept of \textbf{meekly SCSC^*-normality}, a novel generalization of the classical notion of normality in topology. The proposed framework simultaneously broadens SCSC^*-normality and other established forms of normality, offering a unified perspective on generalized separation axioms. Fundamental properties are systematically derived, several equivalent characterizations are obtained, and the relationships between meekly SCSC^*-normal spaces and a range of existing normal-type spaces are rigorously analyzed. By establishing these structural connections, the chapter not only enriches the theory of generalized closed sets and separation axioms but also opens new directions for further research in advanced topological studies.

Keywords

Cite

@article{arxiv.2602.15480,
  title  = {Meekly SC*-Normal Spaces in Topological Spaces},
  author = {Neeraj Kumar Tomar and Saroj Rani},
  journal= {arXiv preprint arXiv:2602.15480},
  year   = {2026}
}
R2 v1 2026-07-01T10:39:46.641Z