Neeraj Kumar Tomar

collaborators

9 papers

math.GN2026

Meekly SC*-Normal Spaces in Topological Spaces

Neeraj Kumar Tomar, Saroj Rani

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

math.RT2025

Idempotent & Nilpotent Operators and Matrices in Bicomplex Space

Anjali Anjali, Akhil Prakash, Amita Amita +1

This paper explores idempotent and nilpotent operators in bicomplex spaces, focusing on their properties and behavior. We define idempotent and nilpotent matrices in this framework…

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 $S C^{*}$ -separation axioms and $H^{*}$ -separation axioms by using $S C^{*}$ and $H^{*}$ -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…