The aim of this paper is to study the relations among soft topological spaces, soft L-topological spaces and stratified soft L-topological spaces. Firstly, we construct a Galois correspondence between the category SoTop of soft topological spaces and the category SoL-Top of soft L-topological spaces, and obtain that SoTop is a coreflective subcategory of SoL-Top. Secondly, we show that there is a Galois correspondence between the category SSoL-Top of stratified soft L-topological spaces and SoTop and obtain that SoTop is a reflective subcategory of SSoL-Top. Finally, we study the stratification of soft L-topological spaces. We also construct a Galois correspondence between SSoL-Top and SoL-Top, and obtain that SSoL-Top is a coreflective subcategory of SoL-Top.
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