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arXiv · 1808.00715

Complete metric spaces with property (Z) are length metric spaces

Antonio Avilés·Gonzalo Martínez-Cervantes
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Abstract

We prove that every complete metric space with property (Z) is a length space. These answers questions posed by Garc\'{i}a-Lirola, Proch\'{a}zka and Rueda Zoca, and by Becerra Guerrero, L\'{o}pez-P\'{e}rez and Rueda Zoca, related to the structure of Lipschitz-free Banach spaces of metric spaces.

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Antonio Avilés, Gonzalo Martínez-Cervantes. 2018-08-02. Complete metric spaces with property (Z) are length metric spaces. https://arxiv.org/abs/1808.00715

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