Soft topological approaches via soft γ-open sets

Abstract

<abstract> <p>The purpose of this research is to present, study, and prove numerous features of soft <italic>γ</italic>-open ($\mathcal{S} $<italic>γ</italic>o) and soft <italic>γ</italic>-closed ($\mathcal{S} $<italic>γ</italic>c) sets in soft topological structure ($\mathcal{S} $<italic>τs</italic>). Also, we show that the collection of $\mathcal{S} $<italic>γ</italic>o sets is a soft supra topology ($\mathcal{S} $<italic>sτ</italic>) by stating and proving the conditions. Finally, we study soft <italic>γ</italic>-continuous functions and soft <italic>γ</italic>-irresolute functions. Some related properties of these new soft of discussed with help of some examples.</p> </abstract>