Some nano topological structures via ideals and graphs

Abd El Fattah El Atik1, Hanan Zaky Hassan2
1Department of Mathematics, Faculty of Science, Tanta University, Tanta 31527, Egypt
2Department of Mathematics, Faculty of Science, Suez Canal University, Ismailia, Egypt

Tóm tắt

Abstract

In this paper, new forms of nano continuous functions in terms of the notion of nano -open sets called nano -continuous functions, strongly nano -continuous functions and nano -irresolute functions will be introduced and studied. We establish new types of nano -open functions, nano -closed functions and nano -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.

Từ khóa


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