{
  "id": "0805.1860",
  "version": "v3",
  "published": "2008-05-13T14:04:33.000Z",
  "updated": "2008-05-27T11:58:15.000Z",
  "title": "Unconditional basic sequences in spaces of large density",
  "authors": [
    "Pandelis Dodos",
    "Jordi Lopez Abad",
    "Stevo Todorcevic"
  ],
  "categories": [
    "math.FA",
    "math.LO"
  ],
  "abstract": "We study the problem of the existence of unconditional basic sequences in Banach spaces of high density. We show, in particular, the relative consistency with GCH of the statement that every Banach space of density $\\aleph_\\omega$ contains an unconditional basic sequence.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-05-27T11:58:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B03",
      "03E35"
    ],
    "keywords": [
      "unconditional basic sequence",
      "large density",
      "banach space",
      "high density",
      "relative consistency"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0805.1860D"
    }
  }
}