On soft covering spaces in soft topological spaces

Abstract

<abstract><p>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.</p></abstract>