Some Results on Soft Topological Notions

Year 2021, Volume: 10 Issue: 1, 65 - 75, 30.04.2021

Tuğçe Aydın , Serdar Enginoğlu

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

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