{
  "id": "2007.11971",
  "version": "v1",
  "published": "2020-07-23T12:37:07.000Z",
  "updated": "2020-07-23T12:37:07.000Z",
  "title": "Definable groups in topological fields with a generic derivation",
  "authors": [
    "Francoise Point"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We continue the study of a class of topological $\\mathcal{L}$-fields endowed with a generic derivation $\\delta$, focussing on describing definable groups. We show that one can associate to an $\\mathcal{L}_{\\delta}$ definable group a type $\\mathcal{L}$-definable topological group. We use the group configuration tool in o-minimal structures as developed by K. Peterzil.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-23T12:37:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C60",
      "12H05",
      "20A15"
    ],
    "keywords": [
      "definable group",
      "generic derivation",
      "topological fields",
      "group configuration tool",
      "o-minimal structures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}