Formulae for Finding the Number of NeutroTopological Spaces

Abstract

There is a relation between classical topological space and NeutroTopological space. Every classical topological space generates a NeutroTopological space, and every anti-topological space generates a NeutroTopological space. According to NeutroTopological spaces, NeutroTopological spaces have a broader structure. Thus, the neutrosophic theory's (T, I, F) components are added to traditional topological space, yielding a new structure. Topology is a branch of mathematics that works with particular definitions for spatial structure notions, compares them, and analyses the relationships between the structure and the set's qualities. In topology, the initial step is to define a general definition of the fit, followed by an investigation of the connections between topological structures derived from various methodologies. Finding the number of topologies in a set is challenging work. In this chapter, the formulas for finding the number of NeutroTopological spaces having two and three open sets are defined. Further, formulae for non-NeutroTopological space are defined.