Introduces soft S-closed spaces and explores their properties and characterizations among related topological notions.
This paper introduces soft S-closed spaces, a new class of soft topological spaces.We establish a number of characterizations, including one involving soft filterbases, which establishes that a soft topological space is soft S-closed if and only if every soft filterbase has a soft saccumulation point.This study placed soft S-closedness in context with other related notions by exploring its relationship with soft compact, soft quasi-H-closed, and soft nearly compact spaces.In addition, the properties of S-closedness with respect to soft semicontinuous and soft irresolute mappings are also studied.Finally, we create a one-to-one correspondence for generated soft topologies, showing under which a topology is soft S-closed if and only if every classical space of the generated topology is S-closed.
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Samer Al Ghour (2026) studied this question.
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