• Corpus ID: 14720409

# The Apple Doesn’t Fall Far From the (Metric) Tree: Equivalence of Definitions

@article{Aksoy2013TheAD,
title={The Apple Doesn’t Fall Far From the (Metric) Tree: Equivalence of Definitions},
author={Asuman G{\"u}ven Aksoy and Sixian Jin},
journal={arXiv: Metric Geometry},
year={2013}
}
• Published 25 June 2013
• Mathematics
• arXiv: Metric Geometry
In this paper we prove the equivalence of definitions for metric trees and for \delta-hyperbolic spaces. We point out how these equivalences can be used to understand the geometric and metric properties of \delta-hyperbolic spaces and its relation to CAT(\kappa) spaces.

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