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.
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Article type
Year
Open Access
Research Article
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AIMS Mathematics 2024, 9(7): 18134-18142
Published: 15 July 2024
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