paper

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

arXiv:1306.6092

Abstract

In this paper we prove the equivalence of definitions for metric trees and for δ-hyperbolic spaces. We point out how these equivalences can be used to understand the geometric and metric properties of δ-hyperbolic spaces and its relation to CAT(κ) spaces.

arXiv comment13 pages, 2 figures