Capacity dimension and embedding of hyperbolic spaces into the product of trees
Geometric Topology
2009-06-04 v1 Metric Geometry
Abstract
We prove that every visual Gromov hyperbolic space X whose boundary at infinity has the finite capacity dimension n admits a quasi-isometric embedding into (n+1)-fold product of metric trees.
Keywords
Cite
@article{arxiv.math/0505429,
title = {Capacity dimension and embedding of hyperbolic spaces into the product of trees},
author = {S. Buyalo},
journal= {arXiv preprint arXiv:math/0505429},
year = {2009}
}
Comments
15 pages