@article{9bba2d2700134a87b6904c48b386aa05,
title = "A doubling subset of Lp for p > 2 that is inherently infinite dimensional",
abstract = "It is shown that for every p∈(2,∞) there exists a doubling subset of Lp that does not admit a bi-Lipschitz embedding into Rk for any k∈N.",
keywords = "Doubling metric spaces, Heisenberg group, Metric embeddings",
author = "Vincent Lafforgue and Assaf Naor",
note = "Funding Information: Acknowledgments V. L. was supported by ANR Grant KInd. A. N. was supported by NSF Grant CCF-0832795, BSF Grant 2010021, the Packard Foundation and the Simons Foundation. Part of this work was completed while A. N. was a Visiting Fellow at Princeton University. Publisher Copyright: {\textcopyright} 2013, Springer Science+Business Media Dordrecht.",
year = "2014",
month = oct,
day = "1",
doi = "10.1007/s10711-013-9924-4",
language = "English (US)",
volume = "172",
pages = "387--398",
journal = "Geometriae Dedicata",
issn = "0046-5755",
publisher = "Springer Netherlands",
number = "1",
}