{
  "id": "1704.08396",
  "version": "v1",
  "published": "2017-04-27T01:07:19.000Z",
  "updated": "2017-04-27T01:07:19.000Z",
  "title": "Density of definable types and elimination of imaginaries",
  "authors": [
    "Quentin Brouette",
    "Pablo Cubides Kovacsics",
    "Francoise Point"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We show that for every definable set X in a closed ordered differential field K, there is a definable type p in X which is definable over the code of X. As an application, we give a proof of elimination of imaginaries of CODF, the theory of closed ordered differential fields. Using a fibered dimension function on definable subsets of models of CODF, we further show that such a type may be chosen as having the same dimension as X.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-27T01:07:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C64",
      "12H05"
    ],
    "keywords": [
      "definable type",
      "closed ordered differential field",
      "elimination",
      "imaginaries",
      "fibered dimension function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}