{
  "id": "1507.03911",
  "version": "v1",
  "published": "2015-07-14T16:24:13.000Z",
  "updated": "2015-07-14T16:24:13.000Z",
  "title": "Dp-minimal valued fields",
  "authors": [
    "Franziska Jahnke",
    "Pierre Simon",
    "Erik Walsberg"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We show that dp-minimal valued fields are henselian and that a dp-minimal field admitting a definable type V topology is either real closed, algebraically closed or admits a non-trivial definable henselian valuation. We give classifications of dp-minimal ordered abelian groups and dp-minimal ordered fields without additional structure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-14T16:24:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C45"
    ],
    "keywords": [
      "dp-minimal valued fields",
      "dp-minimal ordered abelian groups",
      "non-trivial definable henselian valuation",
      "dp-minimal ordered fields",
      "dp-minimal field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150703911J"
    }
  }
}