{
  "id": "1609.03078",
  "version": "v1",
  "published": "2016-09-10T18:34:12.000Z",
  "updated": "2016-09-10T18:34:12.000Z",
  "title": "Solovay's inaccessible over a weak set theory without choice",
  "authors": [
    "Haim Horowitz",
    "Saharon Shelah"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We study the consistency strength of Lebesgue measurability for $\\Sigma^1_3$ sets over a weak set theory in a completely choiceless context. We establish a result analogous to the Solovay-Shelah theorem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-10T18:34:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "weak set theory",
      "solovays inaccessible",
      "consistency strength",
      "lebesgue measurability",
      "solovay-shelah theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}