arXivDaily arXiv每日学术速递 周一至周五更新
arXiv math/0607376math.GTmath.GR
收藏

Asymptotic dimension and uniform embeddings

S. R. Gal

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑