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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Finally, the notion of soft connectedness of soft topological spaces is proposed, and some related properties are discussed.
📌 3 Key Takeaways
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Objective & Hypothesis:The notion of soft topological space which is defined over an initial universe with a fixed set of parameters was introduced by Shabir and Naz.
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Key Findings & Data:In this paper, the concept of soft continuous mapping between two soft topological spaces is first proposed.
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Conclusion & Impact:Finally, the notion of soft connectedness of soft topological spaces is proposed, and some related properties are discussed.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Soft sets · Soft topological spaces · Soft continuous mappings
Abstract
The notion of soft topological space which is defined over an initial universe with a fixed set of parameters was introduced by Shabir and Naz. In this paper, the concept of soft continuous mapping between two soft topological spaces is first proposed. Then the main properties of soft continuous mappings are studied. Finally, the notion of soft connectedness of soft topological spaces is proposed, and some related properties are discussed.
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Cite This Article
Yang, H., Liao, X., Li, S. (2015). On soft continuous mappings and soft connectedness of soft topological spaces. Hacettepe Journal of Mathematics and Statistics, Volume: 44 Issue: 2. https://ajindex.com/articles/1403311