The Apple Doesn't Fall Far From the (Metric) Tree: The Equivalence of Definitions
Metric Geometry
2013-06-27 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1306.6092,
title = {The Apple Doesn't Fall Far From the (Metric) Tree: The Equivalence of Definitions},
author = {Asuman G. Aksoy and Sixian Jin},
journal= {arXiv preprint arXiv:1306.6092},
year = {2013}
}
Comments
13 pages, 2 figures