{
  "id": "1202.5215",
  "version": "v1",
  "published": "2012-02-23T15:51:43.000Z",
  "updated": "2012-02-23T15:51:43.000Z",
  "title": "On colimits and elementary embeddings",
  "authors": [
    "Joan Bagaria",
    "Andrew Brooke-Taylor"
  ],
  "comment": "17 pages",
  "categories": [
    "math.LO",
    "math.CT"
  ],
  "abstract": "We give a sharper version of a theorem of Rosicky, Trnkova and Adamek, and a new proof of a theorem of Rosicky, both about colimit preservation between categories of structures. Unlike the original proofs, which use category-theoretic methods, we use set-theoretic arguments involving elementary embeddings given by large cardinals such as alpha-strongly compact and C^(n)-extendible cardinals.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-02-23T15:51:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E55",
      "03E75",
      "18A15",
      "18C35",
      "18A30",
      "18A35"
    ],
    "keywords": [
      "elementary embeddings",
      "sharper version",
      "original proofs",
      "category-theoretic methods",
      "set-theoretic arguments"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1202.5215B"
    }
  }
}