Furthermore, in many paperssome notions are introduced by dierent ways and it would be good togive a unied approach for a transfer of topological notions to a softset theory and to create a bridge between general topology and soft settheory.
📌 3 Key Takeaways
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Objective & Hypothesis:The paper deals with a soft topological space which is dened over aninitial universe set U with a xed set of parameters E .
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Key Findings & Data:The main goalis to point out that any soft topological space is homeomorphic to atopological space $( E \times U, \tau )$ where $\tau$ is an arbitrary topology on theproduct $E \times U$ , consequently many soft topological notions and resultscan be derived from general topology.
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Conclusion & Impact:Furthermore, in many paperssome notions are introduced by dierent ways and it would be good togive a unied approach for a transfer of topological notions to a softset theory and to create a bridge between general topology and soft settheory.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Soft set · Soft open (closed) set · Soft interior (closure) of soft set
Abstract
The paper deals with a soft topological space which is dened over aninitial universe set U with a xed set of parameters E . The main goalis to point out that any soft topological space is homeomorphic to atopological space $( E \times U, \tau )$ where $\tau$ is an arbitrary topology on theproduct $E \times U$ , consequently many soft topological notions and resultscan be derived from general topology. Furthermore, in many paperssome notions are introduced by dierent ways and it would be good togive a unied approach for a transfer of topological notions to a softset theory and to create a bridge between general topology and soft settheory.
Milan, M. (2022). Soft topological space and topology on the Cartesian product. Hacettepe Journal of Mathematics and Statistics, Cilt: 45 - Sayı: 4, 1091–1100. https://ajindex.com/articles/530048