Z-regular Spaces in Topological Spaces

Poonam Sharma; Indukala Tripathi

doi:https://doi.org/10.14445/22315373/IJMTT-V68I6P520

International Journal of Mathematics Trends and Technology

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Volume 68 | Issue 6 | Year 2022 | Article Id. IJMTT-V68I6P520 | DOI : https://doi.org/10.14445/22315373/IJMTT-V68I6P520

Z-regular Spaces in Topological Spaces

Poonam Sharma, Indukala Tripathi

Abstract

The aim of this paper is to introduce and study a new class of spaces, namely Z-regular spaces by using Z-open sets. The relationships among regular, strongly rg-regular, almost regular, softly regular, weakly regular, -regular and -regular spaces are investigated. Also we obtain some characterizations of Z-regular spaces, properties of the forms of gZ-closed, Zgclosed functions and preservation theorems for Z-regular spaces.

Keywords

Z-open sets, Z-regular, s-regular, almost regular and softly regular spaces, gZ-closed and Z-gZ-closed functions.

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Citation :

Poonam Sharma, Indukala Tripathi, "Z-regular Spaces in Topological Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 68, no. 6, pp. 163-168, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I6P520