This is an announcement for the paper "A doubling subset of $L_p$ for $p>2$ that is inherently infinite dimensional" by Vincent Lafforgue and Assaf Naor.

Abstract: It is shown that for every $p\in (2,\infty)$ there exists a doubling subset of $L_p$ that does not admit a bi-Lipschitz embedding into $\R^k$ for any $k\in \N$.

Archive classification: math.MG math.FA

Submitted from: naor@cims.nyu.edu

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1308.4554

or

http://arXiv.org/abs/1308.4554