<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this paper, we have established topological soft sets over generalized topological spaces and topological spaces, and studied its structural properties. We have derived a topological soft set in any given topological space, and from this point of view, we have given necessary and sufficient condition for homeomorphic Alexandroff spaces using topological soft set technique. At last, we have derived a topological soft set using closed sets in any topological space and we have given necessary and sufficient condition for arbitrary homeomorphic topological spaces using them.</p>
</abstract>

In this paper, we have established topological soft sets over generalized topological spaces and topological spaces, and studied its structural properties. We have derived a topological soft set in any given topological space, and from this point of view, we have given necessary and sufficient condition for homeomorphic Alexandroff spaces using topological soft set technique. At last, we have derived a topological soft set using closed sets in any topological space and we have given necessary and sufficient condition for arbitrary homeomorphic topological spaces using them.

On topological soft sets

Department of Mathematics, Faculty of Science

Journal of Applied Mathematics, Statistics and Informatics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"On topological soft sets"}

In this paper, we have established topological soft sets over generalized topological spaces and topological spaces, and studied its structural properties. We...

On topological soft sets

Data publikacji: 24 gru 2020

Zakres stron: 5 - 22

DOI: https://doi.org/10.2478/jamsi-2020-0006

Słowa kluczowe
Soft set, topology, generalized topology, soft topology, topological soft set

© 2020 M. Burç Kandemir et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

On topological soft sets

Data publikacji: 24 gru 2020

Zakres stron: 5 - 22

DOI: https://doi.org/10.2478/jamsi-2020-0006

Słowa kluczoweSoft set, topology, generalized topology, soft topology, topological soft set

© 2020 M. Burç Kandemir et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Słowa kluczowe
Soft set, topology, generalized topology, soft topology, topological soft set