{
  "id": "1601.04141",
  "version": "v1",
  "published": "2016-01-16T09:21:42.000Z",
  "updated": "2016-01-16T09:21:42.000Z",
  "title": "Power set at $\\aleph_ω$: On a theorem of Woodin",
  "authors": [
    "Mohammad Golshani"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We give Woodin's original proof that if there exists a $(\\kappa+2)-$strong cardinal $\\kappa,$ then there is a generic extension of the universe in which $\\kappa=\\aleph_\\omega,$ $GCH$ holds below $\\aleph_\\omega$ and $2^{\\aleph_\\omega}=\\aleph_{\\omega+2}.$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-16T09:21:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "power set",
      "woodins original proof",
      "strong cardinal",
      "generic extension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160104141G"
    }
  }
}