Homeomorphisms via M-Open Sets in n-Cylindrical Neutrosophic Topological Spaces

Abstract

In this article, we introduce the novel notions of - homeomorphism, --homeomorphism, and --spaces within the context of -Cylindrical neutrosophic topological spaces. These concepts serve as natural extensions of classical homeomorphisms and separation axioms into the neutrosophic framework, incorporating degrees of membership, non-membership, and indeterminacy. We systematically develop and examine several key properties and structural features associated with these notions. In addition, a series of theorems and related results are established, offering deeper insights into the behavior and potential applications of these mappings and spaces in neutrosophic topology.