H*-Normal Spaces and Some Related Functions
Neeraj Kumar Tomar, M. C. Sharma, Amit Ujlayan

TL;DR
This paper studies a new class of functions and spaces called H*-normal spaces, extending classical concepts and establishing their properties and relationships with other normality notions in topology.
Contribution
It introduces and characterizes H*-normal spaces and functions, generalizing existing notions and providing new theorems on their properties and preservation.
Findings
H*-normal spaces are characterized through various theorems.
Generalizations of H*-closed functions are established.
Connections between H*-normality, g-normal, and classical normal spaces are clarified.
Abstract
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 investigate its connections with \( g \)-normal and classical normal spaces. Additionally, we generalize \( H^* \)-closed and \( H^* \)-generalized closed functions, analyzing their fundamental properties. Several characterizations of \( H^* \)-normal spaces are established, along with preservation theorems that highlight the structural significance of these functions.
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Taxonomy
TopicsFuzzy and Soft Set Theory · Advanced Topology and Set Theory · Digital Image Processing Techniques
