Mixed multiset topological space and Separation axioms

Gautam Chandra Ray () and Sudeep Dey ()
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Gautam Chandra Ray: Central Institute of Technology, Kokrajhar
Sudeep Dey: Central Institute of Technology, Kokrajhar

Indian Journal of Pure and Applied Mathematics, 2022, vol. 53, issue 1, 92-99

Abstract: Abstract Very recently the concept of separation axioms in multiset topological space and the concept of mixed multiset topological space were developed. In this article we redefine the definition of mixed multiset topological space.We introduce the separation axioms in it and investigate some of their properties.We also show that the properties of being $$T_{0} , T_{1} ,T_{2}$$ T 0 , T 1 , T 2 spaces are hereditary.

Keywords: Multiset; M-topology; Multipoint; Quasi-coincidence-Mixed M-topology; Primary 03E70; 03E15; 03E20; Secondary 54A05; 54A10 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s13226-021-00091-y

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