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Research Article

SOME PROPERTIES OF BINARY $S_{\alpha}$ OPEN AND CLOSED SETS IN BINARY TOPOLOGICAL SPACE

J
J. Elekiah Department of Mathematics, Nirmala College For Women, Coimbatore, Tamil Nadu, INDIA
G
G. Sindhu Department of Mathematics, Nirmala College For Women, Coimbatore, Tamil Nadu, INDIA
Volume 19, Issue 3 Pages 275-284 December 30, 2023 182 downloads
Article overview

Abstract

The primary aim of this paper is to discuss the interior and closure operators of binary $S_{\alpha}$ set in binary topological spaces. That is binary $S_{\alpha}$-closure and binary $S_{\alpha}$-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 $S_{\alpha}$-closure and binary $S_{\alpha}$-interior are denoted as $_{b} S_{\alpha} cl$ and $_{b} S_{\alpha} int$ respectively.

Keywords and Phrases

Binary $S_{\alpha}$ setBinary $S_{\alpha}$-closureBinary $S_{\alpha}$-interiorBinary topological spaceBinary interiorBinary closure.

AMS Subject Classification

54D70.

Reference information

How to Cite

J. Elekiah, G. Sindhu (2023). SOME PROPERTIES OF BINARY $S_{\alpha}$ OPEN AND CLOSED SETS IN BINARY TOPOLOGICAL SPACE. South East Asian Journal of Mathematics and Mathematical Sciences, 19(3), 275-284.
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