Unification of Generalized pre-regular closed Sets on Topological Spaces

Jayasree Chakraborty; Birojit Das; Pabita Mahato; Baby Bhattacharya

doi:10.24996/ijs.2023.64.9.21

Authors

Jayasree Chakraborty Department of Mathematics, NIT Agartala, India
Birojit Das Centre of Excellence, Tripura University, India https://orcid.org/0000-0001-7614-1051
Pabita Mahato Department of Mathematics, NIT Durgapur, India
Baby Bhattacharya Department of Mathematics, NIT Agartala, India

DOI:

https://doi.org/10.24996/ijs.2023.64.9.21

Keywords:

pr μg-closed set, pre-regular μT_{1/2}-space, prμ_g-regular space, prμ_g-normal space

Abstract

This paper intends to initiate a new type of generalized closed set in topological space with the theoretical application of generalized topological space. This newly defined set is a weaker form than the -closed set as well as -closed set. Some phenomenal characterizations and results of newly defined sets are inculcated in a proper manner. The characteristics of normal spaces and regular spaces are achieved in the light of the generalized pre-regular closed set.