Expansion properties of metric spaces not admitting a coarse embedding into a Hilbert space
Metric Geometry
2009-05-03 v2 Functional Analysis
Abstract
The main purpose of the paper is to find some expansion properties of locally finite metric spaces which do not embed coarsely into a Hilbert space. The obtained result is used to show that infinite locally finite graphs excluding a minor embed coarsely into a Hilbert space. In an appendix a direct proof of the latter result is given.
Cite
@article{arxiv.0903.0607,
title = {Expansion properties of metric spaces not admitting a coarse embedding into a Hilbert space},
author = {M. I. Ostrovskii},
journal= {arXiv preprint arXiv:0903.0607},
year = {2009}
}
Comments
Some misprints have been corrected in the second version