Some Separation Axioms In Nano Ideal Topological Spaces

Abstract

The notion of nano ideal topological space was introduced by M. Parimala et al [6].  They studied its properties and characterizations. Also they introduced the concept of nano ideal generalized closed sets in nano ideal topological spaces and investigated some of its basic properties. The main goal of this work is to induct and study the properties of -space, -space, - connected space and -Hausdroff space in nano ideal topological spaces and study its relationship with existing spaces. Further we obtain certain characterizations of these spaces.