On Neutrosophic e-Compactness

In the exploration of Neutrosophic fine spaces, this article investigates and study a novel concept known as Neutrosophic fine open sets (NfOS). After giving the fundamental concepts of Neutrosophic fine open sets (NfOS) in topological spaces, we present the properties of these sets, the study obtained and analyzes both Neutrosophic fine open and closed sets within the context of Neutrosophic fine spaces. The article establishes fundamental definitions, accompanied by illustrative real time example, to provide a comprehensive understanding of the newly introduced sets. Furthermore, the exploration extends to defining and examining key concepts such as Neutrosophic fine continuity, Neutrosophic fine irresoluteness, and Neutrosophic fine irresolute homeomorphism. This progression aims to contribute to the broader comprehension and application of Neutrosophic fine spaces in topological contexts.