Asymptotic dimension of a hyperbolic space and capacity dimension of its boundary at infinity
Geometric Topology
2009-06-04 v1 Metric Geometry
Abstract
We introduce a quasi-symmetry invariant of a metric space Z called the capacity dimension. Our main result says that for a visual Gromov hyperbolic space X the asymptotic dimension of X is at most the capacity dimension of its boundary at infinity plus 1.
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Cite
@article{arxiv.math/0505427,
title = {Asymptotic dimension of a hyperbolic space and capacity dimension of its boundary at infinity},
author = {S. Buyalo},
journal= {arXiv preprint arXiv:math/0505427},
year = {2009}
}
Comments
23 pages