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math.GN2026

Meekly SC*-Normal Spaces in Topological Spaces

Neeraj Kumar Tomar, Saroj Rani

This chapter develops the concept of \textbf{meekly -normality}, a novel generalization of the classical notion of normality in topology. The proposed framework simultaneousl…

math.GN2025

Some Separation Axioms in Topological Spaces

Neeraj Kumar Tomar, M. C. Sharma, Amit Ujlayan +1

In this paper, we introduced the concepts of new separation axioms called -separation axioms and -separation axioms by using and -open sets in topolo…

math.GN2025

H*-Normal Spaces and Some Related Functions

Neeraj Kumar Tomar, M. C. Sharma, Amit Ujlayan

This paper introduces and explores functions defined on \( H^* \)-normal spaces through the framework of \( H^* \)-open sets. We extend the concept of \( H^* \)-normality and inves…

math.GN2025

Q*-normal spaces

Hamant Kumar, Neeraj Kumar Tomar

In this paper, using Q*-closed sets, we introduce a new version of normality called, Q*-normality which is a weak form of normality. Further utilizing Q*g-closed sets, we obtain so…

math.GN2025

Almost SC*-normal spaces

Neeraj Kumar Tomar, Fahed Zulfeqarr, Amit Ujlayan

This paper introduces and investigates a new class of almost normal spaces, referred to as almost SC*-normal spaces, which are defined using SC*-open sets. Building on the work of…

math.GN2025

Softly -Normal Spaces

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

The aim of this paper is to introduce a new class of softly normal called softly -normality by using -open sets and obtained several properties of…