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Article Dans Une Revue Geometriae Dedicata Année : 2014

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

Résumé

It is shown that for every $p∈(2,∞)$ there exists a doubling subset of $L_p$ that does not admit a bi-Lipschitz embedding into $\R^k$ for any $k\in \N$.

Dates et versions

hal-01144783 , version 1 (22-04-2015)

Identifiants

Citer

Vincent Lafforgue, Assaf Naor. A doubling subset of $L_p$ for $p>2$ that is inherently infinite dimensional. Geometriae Dedicata, 2014, 172 (1), pp.387-398. ⟨10.1007/s10711-013-9924-4⟩. ⟨hal-01144783⟩
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