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

2013/06/25 by Asuman G. Aksoy, Aksoy, Asuman G., Sixian Jin +1
Mathematics · #47H09 #54E35 #54E45 #54E50 #FOS: Mathematics #Metric Geometry (math.MG) #math.MG #msc:47H09 #msc:54E35 #msc:54E45 #msc:54E50

paper · pdf · doi:10.48550/arxiv.1306.6092

13 pages, 2 figures

arxiv created 2013/06/25 · arxiv updated 2013/06/27

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.

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