{
  "id": "1906.09538",
  "version": "v1",
  "published": "2019-06-23T02:34:30.000Z",
  "updated": "2019-06-23T02:34:30.000Z",
  "title": "On the non-existence of $κ$-mad families",
  "authors": [
    "Haim Horowitz",
    "Saharon Shelah"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "Starting from a model with a Laver-indestructible supercompact cardinal $\\kappa$, we construct a model of $ZF+DC_{\\kappa}$ where there are no $\\kappa$-mad families.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-23T02:34:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mad families",
      "non-existence",
      "laver-indestructible supercompact cardinal"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}