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

S. Buyalo
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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.

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S. Buyalo. 2005-05-20. Capacity dimension and embedding of hyperbolic spaces into the product of trees. https://arxiv.org/abs/math/0505429

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