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Research Article | Open Access

On soft covering spaces in soft topological spaces

Department of Mathematics, Faculty of Science, Al-Balqa Applied University, Salt 19117, Jordan
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Abstract

In this paper, we present the concept of a soft covering map on a soft topological space. We also introduce the notion of a soft local homeomorphism and establish the relationship between soft local homeomorphism and soft open mapping. Additionally, we demonstrate that a soft local homeomorphism does not necessarily imply a soft covering map. We provide several characterizations and restriction theorems. Moreover, we deduce the necessary and sufficient conditions for a soft continuous map to be a soft covering map.

Keywords

soft covering mapsoft covering spacesoft local homeomorphism
CLC number: 7M10, 57M12, 54-XX, 54A40

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AIMS Mathematics
Volume 9 Issue 7,
July 2024
Pages 18134-18142
DOI: 10.3934/math.2024885

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Cite this article:
Abu Saleem M. On soft covering spaces in soft topological spaces. AIMS Mathematics, 2024, 9(7): 18134-18142. https://doi.org/10.3934/math.2024885

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Received: 16 March 2024
Revised: 10 May 2024
Accepted: 16 May 2024
Published: 15 July 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)