Asymptotic dimension and uniform embeddings

Details Asymptotic dimension and uniform embeddings Asymptotic dimension and uniform embeddings

2006-07-16

arxiv.org/abs/math/0607376v1

Groups Geom. Dyn. 2 (2008), no. 1, 63-84

Mathematics

Geometric Topology

17 pages, no figures

Scientific paper

10.4171/GGD/31

We show that the type function of a space with finite asymptotic dimension
estimates its Hilbert (or any $l^p$) compression. The method allows to obtain
the lower bound of the compression of the lamplighter group $Z\wr Z$, which has
infinite asymptotic dimension.

Affiliated with

Also associated with

No associations

Rating

Asymptotic dimension and uniform embeddings does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Asymptotic dimension and uniform embeddings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymptotic dimension and uniform embeddings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-506896