Irresolvable and Strongly [Ng.sup.#]--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.sup.#]--resolvable spaces, [Ng.sup.#]--irresolvable spaces and strongly [Ng.sup.#]--irresolvable spaces. This pioneering fusion enables the exploration of novel mathematical structures and their characterizations. Keywords: [Ng.sup.#]--closed set; [Ng.sup.#]--dense set; [Ng.sup.#]--Irresolvable spaces ; Strongly [Ng.sup.#]--Irresolvable spaces