Asymptotic dimension of a hyperbolic space and capacity dimension of its boundary at infinity

S. Buyalo

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Asymptotic dimension of a hyperbolic space and capacity dimension of its boundary at infinity

S. Buyalo

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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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S. Buyalo. 2005-05-20. Asymptotic dimension of a hyperbolic space and capacity dimension of its boundary at infinity. https://arxiv.org/abs/math/0505427

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