N g^#− Irresolvable and Strongly N g^# − Irresolvable Spaces in Neutrosophic Topological Spaces

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 Ng#-resolvable spaces, Ng#-irresolvable spaces and strongly Ng#-irresolvable spaces. This pioneering fusion enables the exploration of novel mathematical structures and their characterizations.