Abstract

This article is devoted to introduce and study a new kind of soft sets in soft topological spaces called soft Np-open sets as a generalization of soft p-open sets. Also, we investigate and prove some of their properties. By using this new soft set we define and study new soft spaces called soft Np-compact spaces, soft Np-Lindelöf spaces, and obtain some of their characterizations and properties. Finally, we discuss the relationships among soft Np-compact spaces, soft Np-Lindelöf spaces, soft p-compact spaces, soft p-Lindelöf spaces, soft compact spaces, and soft Lindelöf spaces.

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