Capacity dimension and embedding of hyperbolic spaces into the product of trees

Details Capacity dimension and embedding of hyperbolic spaces into the product of trees Capacity dimension and embedding of hyperbolic spaces into the product of trees

2005-05-20

arxiv.org/abs/math/0505429v1

St. Petersbg. Math. J. 17 (2006), 581--591

Mathematics

Geometric Topology

15 pages

Scientific paper

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.

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