6 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…
Inner Products and Banach Algebra structures on Bicomplex Numbers and Their Associated Spaces
Prabhat Kumar, Fahed Zulfeqarr, Amit Ujlayan +3
In this paper, we introduce various types of inner products and norms on the bicomplex number system , the bicomplex vector space , the space of b…
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…
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…
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…