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Neutrosophic Sets and Systems

Abstract

The notion of breaking down a topological space into smaller, disjoint subsets is the basis for the topological concepts of ‘resolvable space’ and ‘irresolvable space’. By synergizing topology and neutrosophy, we have introduced a new paradigm in neutrosophic topological spaces, represented by N g #− resolvable spaces, N g #− irresolvable spaces and strongly N g #− irresolvable spaces. This pioneering fusion enables the exploration of novel mathematical structures and their characterizations.

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