SOME PROPERTIES OF BINARY $S_{\alpha}$ OPEN AND CLOSED SETS IN BINARY TOPOLOGICAL SPACE
Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 77
DOI: https://doi.org/10.56827/SEAJMMS.2023.1903.22
Author :
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)
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 $S_{\alpha}$ set, Binary $S_{\alpha}$-closure, Binary $S_{\alpha}$-interior, Binary topological space, Binary interior, Binary closure.
A.M.S. subject classification
54D70.
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