{
  "id": "math/0404180",
  "version": "v1",
  "published": "2004-04-08T02:38:57.000Z",
  "updated": "2004-04-08T02:38:57.000Z",
  "title": "On model completion of T_{aut}",
  "authors": [
    "Saharon Shelah"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We characterize stable T for which the model completion of T_{aut} is stable (i.e., every completion is). Then we prove that ``some completion is stable'' is different and we characterize it. Finally we show that if T is stable, T_{aut} has a model completion, T_* is an unstable complete of T^{mc}_{aut}, then T_* satisfies NSOP_3. Moreover, simplicity is preserved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-04-08T02:38:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "model completion",
      "unstable complete"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......4180S"
    }
  }
}