On (βρn)-OS in Pythagorean Neutrosophic Topological Spaces

P. Basker1∗, Broumi Said2

1Department of Mathematics, Chandigarh University, Punjab-140413, India.

2Regional Center for the Professions of Education and Training,Casablanca-Settat, Morocco.

Emails: mcpdbasker@gmail.com1; broumisaid78@gmail.com2

Abstract

In this paper, we introduce a new set called Pythagorean neutrosophic beta-open set with this concept, and

we introduce interior and closure of Pythagorean neutrosophic beta-open set in a Pythagorean neutrosophic

topological spaces by utilizing beta-open set and we introduce the chii, ii, iiibeta-spaces and di, ii, iiibetaspaces

from the pair of distinct points and we have derived the necessary and sufficient conditions by utilizing

beta-open sets. We also go through some containment relations for interiors and closures of beta-open sets and

studied some of their characteristics.

Keywords: Pythagorean neutrosophic beta-open set; interior of beta-open; closure of beta-open; chii; ii;

iiibeta-spaces; di; ii; iiibeta-spaces.