SOME PROPERTIES OF BINARY Sα OPEN AND CLOSED SETS IN BINARY TOPOLOGICAL SPACE

J. Elekiah; G. Sindhu

doi:10.56827/SEAJMMS.2023.1903.22

J. Elekiah Department of Mathematics, Nirmala College For Women, Coimbatore, Tamil Nadu, INDIA
G. Sindhu Department of Mathematics, Nirmala College For Women, Coimbatore, Tamil Nadu, INDIA

DOI: https://doi.org/10.56827/SEAJMMS.2023.1903.22

Keywords: Binary Sα set, Binary Sα-closure, Binary Sα-interior, Binary topological space, Binary interior, Binary closure.

Abstract

The primary aim of this paper is to discuss the interior and closure operators of binary Sα set in binary topological spaces. That is binary Sα-closure and binary Sα-interior are defined. Also, their basic properties are discussed with suitable examples. Furthermore, the basic relation with the other existing sets have been discussed.binary Sα-closure and binary Sα-interior are denoted as bSαcl and bSαint respectively.