Z-regular Spaces in Topological Spaces

International Journal of Mathematics Trends and Technology (IJMTT)
© 2022 by IJMTT Journal
Volume-68 Issue-6
Year of Publication : 2022
Authors : Poonam Sharma, Indukala Tripathi

How to Cite?

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

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, α-regular and ξ-regular spaces are investigated. Also we obtain some characterizations of Z-regular spaces, properties of the forms of gZ-closed, Zg-closed 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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