On coarse embeddability into $\ell_p$-spaces and a conjecture of Dranishnikov

Details On coarse embeddability into $\ell_p$-spaces and a conjecture of Dranishnikov On coarse embeddability into $\ell_p$-spaces and a conjecture of Dranishnikov

2004-10-27

arxiv.org/abs/math/0410566v1

Fund. Math. 189 (2006), no. 2, 111--116

Mathematics

Metric Geometry

5 pages

Scientific paper

10.4064/fm189-2-2

We show that the Hilbert space is coarsely embeddable into any $\ell_p$ for
$1\le p<\infty$. In particular, this yields new characterizations of
embeddability of separable metric spaces into the Hilbert space.

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