10 papers
Generalized Topological Structures Induced by -Open Sets and Their Separation Properties
Neeraj Kumar Tomar, Komal Priya, Amit Ujlayan
In this paper, we investigate the family of -open sets from the perspective of generalized topology and examine the structural and separation properties arising from it. For…
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…
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…
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…
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…
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…
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…
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 s…
SC*-Regular spaces and some functions
Neeraj Kumar Tomar, Amit Ujlayan, M. C. Sharma
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 the…
SC*-Normal spaces and some functions
Neeraj Kumar Tomar, Fahed Zulfeqarr, M. C. Sharma
In this paper, we introduce and explore a new class of topological spaces termed as SC*-normal spaces, defined via SC*-open sets. The concept of SC*-normality is analyzed in relati…