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Research Article

EXPLORING SEPARATION AXIOMS IN BINARY MULTISET

S
S. P. R. Priyalatha Department of Mathematics, Kongunadu Arts and Science College, Coimbatore - 641 029, Tamil Nadu, INDIA
R
R. Sowndariya Department of Mathematics, Kongunadu Arts and Science College, Coimbatore - 641 029, Tamil Nadu, INDIA
Volume 21, Issue 2 Pages 161-174 August 30, 2025 3 downloads
Article overview

Abstract

In this paper, the concept of separation axioms in binary multiset topological spaces is explored. The separation axioms are introduced and some of their properties are investigated. Furthermore, the properties of being \( T_0 \), \( T_1 \), \( T_2 \), \( T_3 \), \( T_4 \), \( T_5 \), and \( T_{2 \frac{1}{2}} \) spaces are proved to be hereditary.

Keywords and Phrases

bms ${T_0}$-spacebms ${T_1}$-spacebms ${T_2}$-spacebms ${T_3}$-spacebms ${T_4}$-spacebms ${T_5}$-space.

AMS Subject Classification

00A05, 03E70, 54B10, 54G20.

Reference information

How to Cite

S. P. R. Priyalatha, R. Sowndariya (2025). EXPLORING SEPARATION AXIOMS IN BINARY MULTISET. South East Asian Journal of Mathematics and Mathematical Sciences, 21(2), 161-174.
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