Asymptotic dimension and uniform embeddings
Geometric Topology
2010-05-13 v1 Group Theory
Abstract
We show that the type function of a space with finite asymptotic dimension estimates its Hilbert (or any ) compression. The method allows to obtain the lower bound of the compression of the lamplighter group , which has infinite asymptotic dimension.
Cite
@article{arxiv.math/0607376,
title = {Asymptotic dimension and uniform embeddings},
author = {S. R. Gal},
journal= {arXiv preprint arXiv:math/0607376},
year = {2010}
}
Comments
17 pages, no figures