Some Results on Soft Topological Notions

Authors : Tuğçe Aydin, Serdar Enginoğlu

Pages : 65-75

View : 19 | Download : 9

Publication Date : 2021-04-30

Article Type : Research

Abstract :Recently, the generalizations of soft open sets have become a popular subject. These generalizations define based on the concepts of the soft interior and soft closure. Therefore, the properties related to these concepts play an essential role in propositions concerning the generalizations. To this end, we consider the soft interior and soft closure through the concept of the soft element, and thus we clarify the relationships between a soft topological space and its soft subspace topologies. Afterwards, we mention soft α-open sets, soft α-closed sets, and soft α-T_0 space via soft elements. Finally, we discuss soft α-separation axioms for further research.
Keywords : Soft sets, Soft open sets, Soft topology, Soft α-open sets, Soft α-T_0 space