H*-Normal Spaces and Some Related Functions

Neeraj Kumar Tomar; M. C. Sharma; Amit Ujlayan

H*-Normal Spaces and Some Related Functions

General Topology 2025-07-10 v2

Authors: Neeraj Kumar Tomar , M. C. Sharma , Amit Ujlayan

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.

Keywords

special functions topological spaces

Cite

@article{arxiv.2506.16075,
  title  = {H*-Normal Spaces and Some Related Functions},
  author = {Neeraj Kumar Tomar and M. C. Sharma and Amit Ujlayan},
  journal= {arXiv preprint arXiv:2506.16075},
  year   = {2025}
}

H*-Normal Spaces and Some Related Functions

Abstract

Keywords

Cite

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