An Intrinsic Characterization of Five Points in a CAT(0) Space

Gromov (2001) and Sturm (2003) proved that any four points in a CAT(0) space satisfy a certain family of inequalities. We call those inequalities the ⊠-inequalities, following the notation used by Gromov. In this paper, we prove that a metric space X containing at most five points admits an isometri...

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Bibliographic Details
Main Author: Toyoda Tetsu
Format: Article
Language:English
Published: De Gruyter 2020-08-01
Series:Analysis and Geometry in Metric Spaces
Subjects:
Online Access:https://doi.org/10.1515/agms-2020-0111