{
  "id": "1712.02568",
  "version": "v1",
  "published": "2017-12-07T11:26:32.000Z",
  "updated": "2017-12-07T11:26:32.000Z",
  "title": "Automorphism Groups of Countable Stable Structures",
  "authors": [
    "Gianluca Paolini",
    "Saharon Shelah"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "For every countable structure $M$ we construct an $\\aleph_0$-stable countable structure $N$ such that $Aut(M)$ and $Aut(N)$ are topologically isomorphic. This shows that it is impossible to detect any form of stability of a countable structure $M$ from the topological properties of the Polish group $Aut(M)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-07T11:26:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C45",
      "03E15",
      "22F50"
    ],
    "keywords": [
      "countable stable structures",
      "automorphism groups",
      "topologically isomorphic",
      "topological properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}