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AIMS Mathematics
Article . 2022 . Peer-reviewed
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AIMS Mathematics
Article . 2022
Data sources: DOAJ
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Soft topological approaches via soft γ-open sets

Authors: Samirah Alzahrani; A. A. Nasef; N. Youns; A. I. EL-Maghrabi; M. S. Badr;

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>

Keywords

soft topology, QA1-939, soft γ-continuous, soft γ-open sets, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Top 10%
Average
Top 10%
gold