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arXiv:math/0607376 [math.GT]AbstractReferencesReviewsResources

Asymptotic dimension and uniform embeddings

S. R. Gal

Published 2006-07-16Version 1

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.

Comments: 17 pages, no figures
Journal: Groups Geom. Dyn. 2 (2008), no. 1, 63-84
Categories: math.GT, math.GR
Subjects: 20F69, 20F65, 20H15, 20E22, 54F45, 51F99
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