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 Aviléshttps://arxiv.org/search/math?searchtype=author&query=Avil%C3%A9s%2C+A, Gonzalo Martínez-Cervanteshttps://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