Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 45 Issue: 5

Compactness and local compactness of the proximal hyperspace

Sayfa
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Yayın Tarihi
2016-10-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Our aim is to characterize these two properties for the proximal topology, which is related to both of the previous topologies.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı:Our aim is to characterize these two properties for the proximal topology, which is related to both of the previous topologies.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

Rosa, M. (2016). Compactness and local compactness of the proximal hyperspace. Hacettepe Journal of Mathematics and Statistics, Volume: 45 Issue: 5. https://ajindex.com/articles/1403100

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