{
  "id": "1512.00060",
  "version": "v1",
  "published": "2015-11-30T21:51:50.000Z",
  "updated": "2015-11-30T21:51:50.000Z",
  "title": "A survey on tame abstract elementary classes",
  "authors": [
    "Will Boney",
    "Sebastien Vasey"
  ],
  "comment": "82 pages",
  "categories": [
    "math.LO"
  ],
  "abstract": "We survey recent developments in the study of tame abstract elementary classes. We emphasize the role of abstract independence relations such as Shelah's good frames. As an application, we sketch a proof of a categoricity transfer in universal classes (due to the second author): $\\mathbf{Theorem}$ If a universal class is categorical in cardinals of arbitrarily high cofinality, then it is categorical on a tail of cardinals.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-30T21:51:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C48",
      "03C45",
      "03C52",
      "03C55"
    ],
    "keywords": [
      "tame abstract elementary classes",
      "universal class",
      "abstract independence relations",
      "categoricity transfer",
      "second author"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 82,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151200060B"
    }
  }
}