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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Our aim is to characterize these two properties for the proximal topology, which is related to both of the previous topologies.
📌 3 Key Takeaways
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Objective & Hypothesis:Compactness and local compactness of the hyperspace endowed with both the Vietoris topology and the Hausdorff metric topology, have been characterized by Costantini, Levi and Pelant.
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Key Findings & Data:Compactness and local compactness of the hyperspace endowed with both the Vietoris topology and the Hausdorff metric topology, have been characterized by Costantini, Levi and Pelant.
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Conclusion & Impact:Our aim is to characterize these two properties for the proximal topology, which is related to both of the previous topologies.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Hyperspace · Proximal Topology · Local Compactness
Abstract
Compactness and local compactness of the hyperspace endowed with both the Vietoris topology and the Hausdorff metric topology, have been characterized by Costantini, Levi and Pelant. Our aim is to characterize these two properties for the proximal topology, which is related to both of the previous topologies.
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Cite This Article
ROSA, M. (2022). Compactness and local compactness of the proximal hyperspace. Hacettepe Journal of Mathematics and Statistics, Cilt: 45 - Sayı: 5, 1435–1440. https://ajindex.com/articles/530099