Neutrosophic Sets and Systems
Abstract
The specific purpose of this study is to define continuity of mappings in neutro-topological spaces using neutro-open and neutro-closed sets and analyze the properties of continuous functions that are true in classical topological spaces in the neutro-topological space. Neutro-interior and neutro-closure in neutro-topological spaces have some properties that are somewhat different from those in classical topological spaces. However, with the definition of a new form of continuity, termed as weakly neutro-continuity, much of the properties of continuous functions could be established in neutro-topological spaces. Neutro-open map and neutro-closed maps are also defined on the basis of neutro-open and neutro-closed sets. The notion of weakly neutro-continuity has been used to define neutro-homeomorphism and many of the properties of homeomorphism are analyzed and found to be true in the case of neutro-homeomorphism. A comparison of some of the properties of continuity and homeomorphism in classical topological spaces have been done vis-à-vis the neutrosophic topological spaces and neutro-topological spaces.
Recommended Citation
Basumatary, Bhimraj and Jeevan Krishna Khaklary. "A Study on Continuity functions in Neutro-Topological Spaces." Neutrosophic Sets and Systems 78, 1 (2025). https://digitalrepository.unm.edu/nss_journal/vol78/iss1/20
