A doubling subset of $L_p$ for $p>2$ that is inherently infinite dimensional
Metric Geometry
2013-08-22 v1 Functional Analysis
Abstract
It is shown that for every there exists a doubling subset of that does not admit a bi-Lipschitz embedding into for any .
Cite
@article{arxiv.1308.4554,
title = {A doubling subset of $L_p$ for $p>2$ that is inherently infinite dimensional},
author = {Vincent Lafforgue and Assaf Naor},
journal= {arXiv preprint arXiv:1308.4554},
year = {2013}
}