{
  "id": "1802.10125",
  "version": "v1",
  "published": "2018-02-27T19:24:08.000Z",
  "updated": "2018-02-27T19:24:08.000Z",
  "title": "Guessing models and the approachability ideal",
  "authors": [
    "Rahman Mohammadpour",
    "Boban Velickovic"
  ],
  "comment": "preliminary version, 28 pages",
  "categories": [
    "math.LO"
  ],
  "abstract": "Starting with two supercompact cardinals we produce a generic extension of the universe in which the principles ${\\rm ISP}(\\omega_2)$ and ${\\rm ISP}(\\omega_3)$ hold simultaneously, and the restriction of the approachability ideal $I[\\omega_2]$ to the set of ordinals of cofinality $\\omega_1$ is the non stationary ideal on this set.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-02-27T19:24:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E35",
      "03E55",
      "03E05"
    ],
    "keywords": [
      "approachability ideal",
      "guessing models",
      "non stationary ideal",
      "supercompact cardinals",
      "generic extension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}