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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
This is achieved without using the four-point property, a geometric concept used by Aksoy and Maurizi to show that every complete metric tree is hyperconvex.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:The investigation of metric trees began with J.
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Temel Bulgular & Veri:In the current article we prove, among other facts, that the $q$-hyperconvex hull of a $q$-hyperconvex $T_0$-quasi-metric tree is itself a $T_0$-quasi-metric tree.
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Sonuç & Katkı:This is achieved without using the four-point property, a geometric concept used by Aksoy and Maurizi to show that every complete metric tree is hyperconvex.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Metric interval · metric tree · $T_0$-quasi-metric
Abstract
The investigation of metric trees began with J. Tits in 1977. Recently we studied a more general notion of quasi-metric tree. In the current article we prove, among other facts, that the $q$-hyperconvex hull of a $q$-hyperconvex $T_0$-quasi-metric tree is itself a $T_0$-quasi-metric tree. This is achieved without using the four-point property, a geometric concept used by Aksoy and Maurizi to show that every complete metric tree is hyperconvex.
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Bu Makaleye Atıf Yap
MUSHAANDJA, Z., OTAFUDU, O. O. (2017). Quasi-metric trees and $q$-hyperconvex hulls. Turkish Journal of Mathematics, Cilt: 41 - Sayı: 1, 122–131. https://ajindex.com/articles/723238