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

Autor:	Lafforgue, Vincent, Naor, Assaf
Rok vydání:	2013
Předmět:	Mathematics - Metric Geometry Mathematics - Functional Analysis
Druh dokumentu:	Working Paper
Popis:	It is shown that for every $p\in (2,\infty)$ there exists a doubling subset of $L_p$ that does not admit a bi-Lipschitz embedding into $\R^k$ for any $k\in \N$.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1308.4554 Zobrazit plný text záznamu View this record from Arxiv