The Ingenuity of Neutrosophic Topology via N-Topology

Abstract

In this paper we desire to extend the neutrosophic topological spaces into N-neutrosophic topological spaces. Also we show that this theory can be deduced to N-intuitionistic and N-fuzzy topological spaces etc. Further we develop not only the concept of classical generalized closed sets into N-neutrosophic topological spaces but also obtain its basic properties. Finally we investigate its continuous function and generalized continuous function.

Keywords

• Nk-topology
• Nkint(A)
• Nkcl(A)
• Nk-generalized closed set
• Nk-continuous function
• Nk-generalized continuous function