h-Normal Spaces in General Topology

Hamant kumar; Poonam Sharma

doi:https://doi.org/10.14445/22315373/IJMTT-V69I6P501

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 69 | Issue 6 | Year 2023 | Article Id. IJMTT-V69I6P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V69I6P501

h-Normal Spaces in General Topology

Hamant kumar, Poonam Sharma

Received	Revised	Accepted	Published
09 Apr 2023	18 May 2023	03 Jun 2023	15 Jun 2023

Abstract

In this paper, we introduce and study a new class of sets, called h generalized closed sets and relationships among closed, g-closed, gh-closed and hg-closed sets are investigated. Further, we introduce a new class of normal spaces, called hnormal spaces and obtain a characterization of h-normal spaces. Moreover, we define the forms of generalized h-closed, hgeneralized closed and some h-generalized continuous functions. By utilizing these functions, we study properties of the forms of generalized h-closed functions and preservation theorems for h-normal spaces.

Keywords

h-open, gh-closed and hg-closed sets, h-normal spaces, h-closed, gh-closed and h-gh-closed functions.

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Citation :

Hamant kumar, Poonam Sharma, "h-Normal Spaces in General Topology," International Journal of Mathematics Trends and Technology (IJMTT), vol. 69, no. 6, pp. 1-7, 2023. Crossref, https://doi.org/10.14445/22315373/IJMTT-V69I6P501