A New Notion Of Mappings In Nano Ideal Topological Spaces

Abstract

By M. Parimala [6] et al., the concept of nano ideal topological space was first presented.  They researched its characterizations and characteristics. Additionally, they explored some of the fundamental features of the notion of nano ideal generalised closed sets in nano ideal topological spaces. Following that, several mathematicians created different types of closed sets, closed maps, and homeomorphism, including -closed maps [4],  -closed mappings [4], and  -homeomorphism [4] in nano ideal topological spaces. In the current study, we developed a unique concept to depict two types of mappings: -closed maps and -open maps. Additionally, we looked at how these mappings relate to the closed and open maps that currently exist in nano ideal topological spaces.