5 papers
Inner Products and Banach Algebra structures on Bicomplex Numbers and Their Associated Spaces
Prabhat Kumar, Fahed Zulfeqarr, Amit Ujlayan +2
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…