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

A.M.S. subject classification

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

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