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.
© 2014 Asuman G. Aksoy, Sixian Jin
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.