The soft topology of soft ω ∗ -open sets and soft almost Lindelofness

Abstract

In this paper, We use the soft closure operator to introduce soft \(\omega ^{\ast }\)-open sets as a new class of soft sets. We prove that this class of soft sets forms a soft topology that lies strictly between the soft topology of soft \(\theta \)-open sets and the soft topology of soft \(\omega \)-open sets. Also, we show that the soft topology of soft \(% \omega ^{\ast }\)-open sets contain the soft co-countable topology and is independent of the topology of soft open sets. Furthermore, several results regarding soft almost Lindelofness are given. In addition to these, we investigate the correspondences between the novel notions in soft topology and their general topological analogs.