Soft \(\omega \beta \)-open sets and their generated soft topology

First, we introduce soft \(\omega \beta \) $\omega \beta$ -open sets and soft \(\omega \beta \) $\omega \beta$ -closed sets over a soft topological space and study some of their features. In particular, via them, we introduce and investigate two new soft operators. Second, via soft \(\beta \) $\beta$ -open and soft \(\omega \beta \) $\omega \beta$ -open, we introduce and investigate two new soft topological spaces. We also define soft \(\omega \beta \) $\omega \beta$ -continuity, which is a weaker form of soft \(\beta \) $\beta$ -continuity. In addition, using soft \(\beta \) $\beta$ -open, we introduce the class of soft \(\beta \) $\beta$ -Lindelof subsets. We characterize them using soft \(\omega \beta \) $\omega \beta$ -open, and we obtain several mapping theorems related to them. Finally, we investigate the relationship between these new concepts and their related ordinary topological concepts.