{
  "id": "1811.09255",
  "version": "v1",
  "published": "2018-11-22T17:49:46.000Z",
  "updated": "2018-11-22T17:49:46.000Z",
  "title": "Remarks on expansions of the real field: tameness, Hardy fields and smooth rings",
  "authors": [
    "Rodrigo Figueiredo",
    "Hugo Luiz Mariano"
  ],
  "comment": "10 pages",
  "categories": [
    "math.LO"
  ],
  "abstract": "In the talk \\cite{vandendries-matthias-} presented at Logic and Foundations section of ICM-2018, Rio de Janeiro, the authors analyze, under a model-theoretic perspective, three ways to enrich the real continuum by infinitesimal and infinite quantities. In the present work, we present a first model-theoretic connection of another (but related to the previous one) triple of structures: o-minimal structures, Hardy fields and smooth rings.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-22T17:49:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hardy fields",
      "smooth rings",
      "real field",
      "expansions",
      "first model-theoretic connection"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}