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arxiv: 1306.6092 · v1 · pith:LJ46VJL5new · submitted 2013-06-25 · 🧮 math.MG

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

classification 🧮 math.MG
keywords metricspacesdefinitionsdelta-hyperbolicequivalenceappledoesnequivalences
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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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