On coarse embeddability into ell_p-spaces and a conjecture of Dranishnikov
classification
🧮 math.MG
keywords
embeddabilityhilbertspacespacescharacterizationscoarsecoarselyconjecture
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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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