{
  "id": "1704.03050",
  "version": "v1",
  "published": "2017-04-10T20:37:03.000Z",
  "updated": "2017-04-10T20:37:03.000Z",
  "title": "On O-Minimal Expansions of $(\\mathbb{Q},<,+,0)$",
  "authors": [
    "Pablo Cubides Kovacsics",
    "Françoise Delon"
  ],
  "comment": "6 pages",
  "categories": [
    "math.LO",
    "math.NT"
  ],
  "abstract": "Let $f:\\mathbb{Q}\\to \\mathbb{Q}$ be a function definable in an o-minimal expansion of $(\\mathbb{Q},<,+,0)$. We show that $f$ is eventually linear. In addition, we show that this holds in every elementary equivalent structure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-10T20:37:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C64",
      "11Dxx"
    ],
    "keywords": [
      "o-minimal expansion",
      "elementary equivalent structure",
      "eventually linear"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}