{
  "id": "1006.5526",
  "version": "v5",
  "published": "2010-06-29T07:59:45.000Z",
  "updated": "2012-03-19T16:13:35.000Z",
  "title": "Elimination of Hyperimaginaries and Stable Independence in simple CM-trivial theories",
  "authors": [
    "Daniel Palacin",
    "Frank Olaf Wagner"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "In a simple CM-trivial theory every hyperimaginary is interbounded with a sequence of finitary hyperimaginaries. Moreover, such a theory eliminates hyperimaginaries whenever it eliminates finitary hyperimaginaries. In a supersimple CM-trivial theory, the independence relation is stable.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2012-03-19T16:13:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hyperimaginary",
      "stable independence",
      "elimination",
      "theory eliminates hyperimaginaries",
      "eliminates finitary hyperimaginaries"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1006.5526P"
    }
  }
}