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Functions and its implications on ζ -nano topological space

School of Mathematics, Madurai Kamaraj University, Maduari -625021, Tamil Nadu, India.

School of Mathematics, Madurai Kamaraj University, Maduari -625021, Tamil Nadu, India.

Pg and Research Department of Mathematics, Kamaraj College, Thoothukudi , Tamil Nadu, India.

* Corresponding Author
Annals of Communications in Mathematics 2022
, 5 (3),
145-152.
https://doi.org/10.62072/acm.2022.050302
Received: 29 Sept 2022 |
Accepted: 30 Oct 2022 |
Published: 31 Dec 2022

Abstract

In this paper, we are studying about a function’s between domain ζ-nano topological spaces and codomain nano topological spaces which means every nano topology has its inverse image in ζ-nano topology(i.e., ζ-continuous). We establish the ζcluster point in ζ-continuous. We search image from a ζ-open sets (ζ-closed set) to a nano open sets(nano closed sets) is called a ζ-open map(ζ-closed map). Finally, some of the results are portrayed with these ζ-continuity with N -continuity and we extended to ζ-homeomorphism.

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Cite This Article

Functions and its implications on ζ -nano topological space.

Annals of Communications in Mathematics,

2022,
5 (3):
145-152.
https://doi.org/10.62072/acm.2022.050302
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  • Copyright (c) 2023 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).

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