Meekly SC\(^∗\)-Normal Spaces in Topological Spaces
Neeraj K. Tomar
Department of Applied Mathematics, Gautam Buddha University, Greater Noida, India .
Saroj Rani *
Department of Mathematics, S. A. Jain (PG) College, Ambala City, Haryana, India.
*Author to whom correspondence should be addressed.
Abstract
This chapter develops the concept of meekly SC∗-normality, a novel generalization of the classical notion of normality in topology. The proposed framework simultaneously broadens SC∗-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 SC∗-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: Topological spaces, normal spaces, meekly SC∗-normal