Some nano topological structures via ideals and graphs

Abstract

Abstract In this paper, new forms of nano continuous functions in terms of the notion of nano Iα-open sets called nano Iα-continuous functions, strongly nano Iα-continuous functions and nano Iα-irresolute functions will be introduced and studied. We establish new types of nano Iα-open functions, nano Iα-closed functions and nano Iα-homeomorphisms. A comparison between these types of functions and other forms of continuity will be discussed. We prove the isomorphism between simple graphs via the nano continuity between them. Finally, we apply these topological results on some models for medicine and physics which will be used to give a solution for some real-life problems.

Keywords

• Ideals
• Nano topology
• NIα-open sets
• NIα-continuous functions
• NIα-homeomorphism functions
• Directed graphs