{
  "id": "math/0509658",
  "version": "v1",
  "published": "2005-09-28T13:24:14.000Z",
  "updated": "2005-09-28T13:24:14.000Z",
  "title": "A question of van den Dries and a theorem of Lipshitz and Robinson: Not everything is standard",
  "authors": [
    "Ehud Hrushovski",
    "Ya'acov Peterzil"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We use a new construction of an o-minimal structure, due to Lipshitz and Robinson, to answer a question of van den Dries regarding the relationship between arbitrary o-minimal expansions of real closed fields and structures over the real numbers. We write a first order sentence which is true in the Lipshitz-Robinson structure but fails in any possible interpretation over the field of real numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-09-28T13:24:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "real numbers",
      "arbitrary o-minimal expansions",
      "first order sentence",
      "van den dries regarding",
      "lipshitz-robinson structure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......9658H"
    }
  }
}