{
  "id": "1912.12815",
  "version": "v1",
  "published": "2019-12-30T05:06:22.000Z",
  "updated": "2019-12-30T05:06:22.000Z",
  "title": "Definable MAD families and forcing axioms",
  "authors": [
    "Vera Fischer",
    "David Schrittesser",
    "Thilo Weinert"
  ],
  "comment": "13 pages",
  "categories": [
    "math.LO"
  ],
  "abstract": "We show that under the Bounded Proper Forcing Axiom and an anti-large cardinal assumption, there is a $\\mathbf{\\Pi}^1_2$ MAD family.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-30T05:06:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E15",
      "03E57",
      "03E55"
    ],
    "keywords": [
      "definable mad families",
      "mad family",
      "anti-large cardinal assumption",
      "bounded proper forcing axiom"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}