{
  "id": "1805.07048",
  "version": "v1",
  "published": "2018-05-18T05:13:59.000Z",
  "updated": "2018-05-18T05:13:59.000Z",
  "title": "$κ$-Madness and Definability",
  "authors": [
    "Haim Horowitz",
    "Saharon Shelah"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "Assuming the existence of a supercompact cardinal, we construct a model where, for some uncountable regular cardinal $\\kappa$, there are no $\\Sigma^1_1(\\kappa)-\\kappa-$mad families.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-18T05:13:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "definability",
      "supercompact cardinal",
      "uncountable regular cardinal"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}