{
  "id": "1811.08756",
  "version": "v2",
  "published": "2018-11-21T14:36:29.000Z",
  "updated": "2020-01-08T16:01:31.000Z",
  "title": "Burden in Henselian valued fields",
  "authors": [
    "Pierre Touchard"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "In the spirit of the Ax-Kochen-Ershov principle, we show that in certain cases the burden of a Henselian valued field can be computed in terms of the burden of its residue field and that of its value group. To do so, we first see that the burden of such a field is equal to the burden of its RV-sort. These results are generalizations of Chernikov and Simon's work in [CS19].",
  "revisions": [
    {
      "version": "v2",
      "updated": "2020-01-08T16:01:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "henselian valued field",
      "ax-kochen-ershov principle",
      "residue field",
      "value group",
      "simons work"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}