# 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}
}
• 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.
5 Citations
On the Impossibility of Dimension Reduction for Doubling Subsets of ℓp
• Mathematics, Computer Science
• Symposium on Computational Geometry
• 2014
• 8
• PDF

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