{
  "id": "1601.07313",
  "version": "v1",
  "published": "2016-01-27T10:08:26.000Z",
  "updated": "2016-01-27T10:08:26.000Z",
  "title": "Henselian valued fields and inp-minimality",
  "authors": [
    "Artem Chernikov",
    "Pierre Simon"
  ],
  "comment": "13 pages",
  "categories": [
    "math.LO",
    "math.AC"
  ],
  "abstract": "We prove that every ultraproduct of $p$-adics is inp-minimal (i.e., of burden $1$). More generally, we prove an Ax-Kochen type result on preservation of inp-minimality for Henselian valued fields of equicharacteristic $0$ in the RV language.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-27T10:08:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C45",
      "03C60",
      "12L12",
      "12J25"
    ],
    "keywords": [
      "henselian valued fields",
      "inp-minimality",
      "ax-kochen type result",
      "rv language"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160107313C"
    }
  }
}