{
  "id": "2409.10406",
  "version": "v1",
  "published": "2024-09-16T15:36:54.000Z",
  "updated": "2024-09-16T15:36:54.000Z",
  "title": "Tameness Properties in Multiplicative Valued Difference Fields with Lift and Section",
  "authors": [
    "Christoph Kesting"
  ],
  "comment": "17 pages, work form the authors master's thesis",
  "categories": [
    "math.LO"
  ],
  "abstract": "We prove relative quantifier elimination for Pal's multiplicative valued difference fields with an added lifting map of the residue field. Furthermore, we generalize a $\\mathrm{NIP}$ transfer result for valued fields by Jahnke and Simon to $\\mathrm{NTP}_2$ to show that said valued difference fields are $\\mathrm{NTP}_2$ if and only if value group and residue field are.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-09-16T15:36:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "tameness properties",
      "residue field",
      "pals multiplicative valued difference fields",
      "relative quantifier elimination",
      "transfer result"
    ],
    "tags": [
      "dissertation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}