ii-regular Spaces in Topological Spaces

Hamant Kumar; M C Sharma

doi:https://doi.org/10.14445/22315373/IJMTT-V66I11P513

International Journal of Mathematics Trends and Technology

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Volume 66 | Issue 11 | Year 2020 | Article Id. IJMTT-V66I11P513 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I11P513

ii-regular Spaces in Topological Spaces

Hamant Kumar, M C Sharma

Abstract

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

Keywords

ii-open sets; ii-regular, s-regular, almost regular and softly regular spaces; gii-closed and ii-gii-closed functions.

References

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Citation :

Hamant Kumar, M C Sharma, "ii-regular Spaces in Topological Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 11, pp. 141-147, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I11P513