{
  "id": "1704.00319",
  "version": "v1",
  "published": "2017-04-02T15:50:08.000Z",
  "updated": "2017-04-02T15:50:08.000Z",
  "title": "On Embeddings of Finite Subsets of $\\ell_p$",
  "authors": [
    "James Kilbane"
  ],
  "categories": [
    "math.FA",
    "math.MG"
  ],
  "abstract": "We study finite subsets of $\\ell_p$ and show that, up to nowhere dense and Haar null complement, all of them embed isometrically into any Banach space that uniformly contains the spaces $\\ell_p^n$, $n \\in \\mathbb{N}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-02T15:50:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "embeddings",
      "study finite subsets",
      "haar null complement",
      "banach space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}