Universal spaces for asymptotic dimension
Geometric Topology
2007-05-23 v1 General Topology
Abstract
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.
Cite
@article{arxiv.math/0211069,
title = {Universal spaces for asymptotic dimension},
author = {A. Dranishnikov and M. Zarichnyi},
journal= {arXiv preprint arXiv:math/0211069},
year = {2007}
}
Comments
24 pages, 1 figure