A Short Introduction to Similarity via Ideals

Authors

  • Asli Guldurdek American University of the Middle East

DOI:

https://doi.org/10.29020/nybg.ejpam.v15i3.4465

Keywords:

Ideal topological space, Similarity

Abstract

In this work, we introduce the notion of similarity between topologies τ_1 and τ_2, on a set X via ideals. Then, we give some characterizations regarding this kind of similarity by using ∗−dense, and I−dense subsets. We also examine the preservation of similarity with respect to the topologies τ ∗_1 and τ ∗_2 .

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Published

2022-07-31

Issue

Vol. 15 No. 3: (July 2022)

Section

Nonlinear Analysis

License

Copyright (c) 2022 European Journal of Pure and Applied Mathematics

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

A Short Introduction to Similarity via Ideals. (2022). European Journal of Pure and Applied Mathematics, 15(3), 1344-1347. https://doi.org/10.29020/nybg.ejpam.v15i3.4465