A doubling subset of Lp for p > 2 that is inherently infinite dimensional

Vincent Lafforgue, Assaf Naor

Research output: Contribution to journalArticle

6 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)387-398
Number of pages12
JournalGeometriae Dedicata
Volume172
Issue number1
DOIs
StatePublished - Oct 1 2014
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

Keywords

  • Doubling metric spaces
  • Heisenberg group
  • Metric embeddings

Fingerprint Dive into the research topics of 'A doubling subset of L<sub>p</sub> for p > 2 that is inherently infinite dimensional'. Together they form a unique fingerprint.

Cite this