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multi-set are sets that are allowed to have repeated members, that is a multi-set M on a set U is a count function C M from U to non-negative numbers.This study focuses on introducing and analyzing two new classes of separation axioms named, M-R 0 and M-R 1 in the context of multi-set topological spaces by utilizing the concepts of distinct M-singletons and m-closure operator, investigating certain properties and characterizing them with some illustrative examples.Relationships with other M-separation axioms are explored, and it is demonstrated that M-R 0 and M-R 1 are special cases of M-regularity.Furthermore, we show that in the context of compact M-spaces, M-R 1 is equivalent to whole M-regularity.Finally, the hereditary property of these classes is examined.
Saleh et al. (Fri,) studied this question.
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