Universal spaces for asymptotic dimension

Details Universal spaces for asymptotic dimension Universal spaces for asymptotic dimension

2002-11-04

arxiv.org/abs/math/0211069v1

Mathematics

Geometric Topology

24 pages, 1 figure

Scientific paper

We construct a universal space for the class of proper metric spaces of
bounded geometry and of given asymptotic dimension. As a consequence of this
result, we establish coincidence of the asymptotic dimension with the
asymptotic inductive dimensions.

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