{
  "id": "1901.08921",
  "version": "v1",
  "published": "2019-01-25T15:25:08.000Z",
  "updated": "2019-01-25T15:25:08.000Z",
  "title": "A consistency result on long cardinal sequences",
  "authors": [
    "Juan Carlos Martinez",
    "Lajos Soukup"
  ],
  "comment": "20 pages",
  "categories": [
    "math.LO",
    "math.GN"
  ],
  "abstract": "For any regular cardinal $\\kappa$ and ordinal $\\eta<\\kappa^{++}$ it is consistent that $2^{\\kappa}$ is as large as you wish, and every function $f:\\eta \\to [\\kappa,2^{\\kappa}]\\cap Card$ with $f(\\alpha)=\\kappa$ for $cf(\\alpha)<\\kappa$ is the cardinal sequence of some locally compact scattered space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-25T15:25:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54A25",
      "06E05",
      "54G12",
      "03E35"
    ],
    "keywords": [
      "long cardinal sequences",
      "consistency result",
      "locally compact scattered space",
      "regular cardinal",
      "consistent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}