Geodesic
On coarse embeddability into $\ell _p$-spaces and a conjecture of Dranishnikov
Piotr W. Nowak 1
1 Department of Mathematics Vanderbilt University 1326 Stevenson Center Nashville, TN 37240, U.S.A.
Fundamenta Mathematicae, Tome 189 (2006) no. 2, pp. 111-116 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We show that the Hilbert space is coarsely embeddable into any $\ell _p$ for $1\le p\le \infty $. It follows that coarse embeddability into $\ell _2$ and into $\ell _p$ are equivalent for $1\le p 2$.
DOI : 10.4064/fm189-2-2
Keywords: hilbert space coarsely embeddable ell infty follows coarse embeddability ell ell equivalent

Piotr W. Nowak  1

1 Department of Mathematics Vanderbilt University 1326 Stevenson Center Nashville, TN 37240, U.S.A. 
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 a conjecture of Dranishnikov
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Piotr W. Nowak. On coarse embeddability into $\ell _p$-spaces and
 a conjecture of Dranishnikov. Fundamenta Mathematicae, Tome 189 (2006) no. 2, pp. 111-116. doi: 10.4064/fm189-2-2

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