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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Finally, a sufficient condition for $\alpha$-regularity of $\alpha$-topological vector spaces is given.
📌 3 Key Takeaways
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Objective & Hypothesis:The notion of $\alpha$-topological vector space is introduced and several properties are studied.
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Key Findings & Data:A complete comparison between this class and the class of topological vector spaces is presented.
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Conclusion & Impact:Finally, a sufficient condition for $\alpha$-regularity of $\alpha$-topological vector spaces is given.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:$\alpha$-open set · $\alpha$-irresolute map · $\alpha$-topological vector space
Abstract
The notion of $\alpha$-topological vector space is introduced and several properties are studied. A complete comparison between this class and the class of topological vector spaces is presented. In particular, $\alpha$-topological vector spaces are shown to be independent from topological vector spaces. Finally, a sufficient condition for $\alpha$-regularity of $\alpha$-topological vector spaces is given.
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Cite This Article
AL-HAWARY, T. (2018). $\alpha$-Topological Vector Spaces. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 Sayı: 5, 1102–1107. https://ajindex.com/articles/929262