{
  "id": "1612.08358",
  "version": "v1",
  "published": "2016-12-26T10:18:54.000Z",
  "updated": "2016-12-26T10:18:54.000Z",
  "title": "Tree property at double successor of singular cardinals of uncountable cofinality",
  "authors": [
    "Mohammad Golshani",
    "Rahman Mohammadpour"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "Assuming the existence of a strong cardinal $\\kappa$ and a measurable cardinal above it, we force a generic extension in which $\\kappa$ is a singular strong limit cardinal of any prescribed cofinality, and such that the tree property holds at $\\kappa^{++}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-26T10:18:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "singular cardinals",
      "uncountable cofinality",
      "double successor",
      "singular strong limit cardinal",
      "tree property holds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}