Generalized Pre α-Regular and Generalized Pre α-Normal Spaces in Topological Spaces

P. G. Patil; Bhadramma Pattanashetti

doi:10.24996/ijs.2023.64.9.22

Authors

P. G. Patil Department of Mathematics, Karnatak University, Dharwad, India https://orcid.org/0000-0002-3718-964X
Bhadramma Pattanashetti Department of Mathematics, Karnatak University, Dharwad, India https://orcid.org/0000-0002-6282-932X

DOI:

https://doi.org/10.24996/ijs.2023.64.9.22

Keywords:

gpα-closed set, gpα-open set, gpα-Tk-spaces, gpα-continuous function, gpα-regular spaces, gpα-normal spaces

Abstract

The concept of separation axioms constitutes a key role in general topology and all generalized forms of topologies. The present authors continued the study of gpα-closed sets by utilizing this concept, new separation axioms, namely gpα-regular and gpα-normal spaces are studied and established their characterizations. Also, new spaces namely gpα-T_k for k = 0, 1, 2 are studied.