{
  "id": "1707.02062",
  "version": "v1",
  "published": "2017-07-07T07:42:27.000Z",
  "updated": "2017-07-07T07:42:27.000Z",
  "title": "Wild theories with o-minimal open core",
  "authors": [
    "Philipp Hieronymi",
    "Travis Nell",
    "Erik Walsberg"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "Let $T$ be a complete o-minimal theory extending the theory of densely ordered groups and let $T'$ be any theory. Then there is a theory $T^*$ that has $T$ as its open core, but all of its models interpret a model of $T'$. If $T'$ is NIP, $T^*$ can be chosen to be NIP as well. From this we deduce the existence of an NIP expansion of the real field that has no distal expansion.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-07T07:42:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C64",
      "03C45"
    ],
    "keywords": [
      "o-minimal open core",
      "wild theories",
      "complete o-minimal theory extending",
      "real field",
      "nip expansion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}