{"paper":{"title":"On coarse embeddability into $\\ell_p$-spaces and a conjecture of Dranishnikov","license":"","headline":"","cross_cats":[],"primary_cat":"math.MG","authors_text":"Piotr W. Nowak","submitted_at":"2004-10-27T03:04:45Z","abstract_excerpt":"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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0410566","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}