{
  "id": "2003.01272",
  "version": "v1",
  "published": "2020-03-03T00:56:01.000Z",
  "updated": "2020-03-03T00:56:01.000Z",
  "title": "The characterization of the spectra of cardinalities of branches of Kurepa trees",
  "authors": [
    "Márk Poór",
    "Saharon Shelah"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We give a complete characterization of the sets of cardinals that in a suitable forcing extension can be the Kurepa spectrum, that is, the set of cardinalities of branches of Kurepa trees. This answers a question of the first named author.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-03T00:56:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E35",
      "03E05",
      "03E45"
    ],
    "keywords": [
      "kurepa trees",
      "cardinalities",
      "kurepa spectrum",
      "first named author",
      "complete characterization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}