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

Authors

Asuman Güven Aksoy, Claremont McKenna CollegeFollow
Sixian Jin, Claremont Graduate University

Document Type

Article

Department

Mathematics (CMC)

Publication Date

2014

Abstract

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

Comments

Papers presented at the First Conference of Classical and Functional Analysis in Azuga – Romania on 28-29 sept. 2013. The final version published by Transilvania University Press.

Rights Information

© 2014 Asuman G. Aksoy, Sixian Jin

Recommended Citation

A. G. Aksoy, Sixian Jin, The apple doesnt fall far from the metric tree: equivalence of definitions Proceedings of the first conference on classical and functional analysis, Azuga-Romania,pp. 25-36, 2014.