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

@article{Lafforgue2014ADS,
  title={A doubling subset of \$\$L_p\$\$Lp for \$\$p>2\$\$p>2 that is inherently infinite dimensional},
  author={V. Lafforgue and A. Naor},
  journal={Geometriae Dedicata},
  year={2014},
  volume={172},
  pages={387-398}
}
  • V. Lafforgue, A. Naor
  • Published 2014
  • Mathematics
  • Geometriae Dedicata
  • It is shown that for every $$p\in (2,\infty )$$p∈(2,∞) there exists a doubling subset of $$L_p$$Lp that does not admit a bi-Lipschitz embedding into $$\mathbb R^k$$Rk for any $$k\in \mathbb N$$k∈N. 
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