{
  "id": "1812.00051",
  "version": "v1",
  "published": "2018-11-30T20:48:15.000Z",
  "updated": "2018-11-30T20:48:15.000Z",
  "title": "The Surreal Numbers as an Ordered Commutative Ring with an Apartness: A Development in Univalent Foundations",
  "authors": [
    "Jean S. Joseph"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We define a multiplication on the surreal numbers as higher inductive-inductive types.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-30T20:48:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "surreal numbers",
      "ordered commutative ring",
      "univalent foundations",
      "development"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}