Abstract of a paper by Antonio Avilés, Gonzalo Martínez-Cervantes
30 Sep
2018
30 Sep
'18
9:47 a.m.
This is an announcement for the paper “Complete metric spaces with property (Z) are length metric spaces” by Antonio Avilés<https://arxiv.org/search/math?searchtype=author&query=Avil%C3%A9s%2C+A>, Gonzalo Martínez-Cervantes<https://arxiv.org/search/math?searchtype=author&query=Mart%C3%ADnez-Cervantes%2C+G>. 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. The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/1808.00715
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Bentuo Zheng (bzheng)