{
  "id": "1601.07824",
  "version": "v1",
  "published": "2016-01-28T16:42:54.000Z",
  "updated": "2016-01-28T16:42:54.000Z",
  "title": "The strong tree property and weak square",
  "authors": [
    "Yair Hayut",
    "Spencer Unger"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We show that it is consistent, relative to $\\omega$ many supercompact cardinals, that the super tree property holds at $\\aleph_n$ for all $2 \\leq n < \\omega$ but there are weak square and a very good scale at $\\aleph_{\\omega}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-28T16:42:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E55",
      "03E05",
      "03E35"
    ],
    "keywords": [
      "strong tree property",
      "weak square",
      "super tree property holds",
      "supercompact cardinals",
      "consistent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160107824H"
    }
  }
}