{
  "id": "1610.02352",
  "version": "v1",
  "published": "2016-10-07T17:19:09.000Z",
  "updated": "2016-10-07T17:19:09.000Z",
  "title": "Lightface mice with finitely many Woodin cardinals from optimal determinacy hypotheses",
  "authors": [
    "Yizheng Zhu"
  ],
  "comment": "12 pages",
  "categories": [
    "math.LO"
  ],
  "abstract": "The determinacy of lightface $\\Delta^1_{2n+2}$ and boldface $\\boldsymbol{\\Pi}^1_{2n+1}$ sets implies the existence of an $(\\omega, \\omega_1)$-iterable $M_{2n+1}^{\\#}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-07T17:19:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E15",
      "03E45",
      "03E55",
      "03E60"
    ],
    "keywords": [
      "optimal determinacy hypotheses",
      "woodin cardinals",
      "lightface mice",
      "sets implies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}