{
  "id": "0704.1378",
  "version": "v2",
  "published": "2007-04-11T09:08:03.000Z",
  "updated": "2007-05-09T23:59:59.000Z",
  "title": "Triangulated categories without models",
  "authors": [
    "Fernando Muro",
    "Stefan Schwede",
    "Neil Strickland"
  ],
  "comment": "10 pages",
  "journal": "Inventiones Mathematicae, Vol. 170 (2007), No. 2, pp. 231-241",
  "doi": "10.1007/s00222-007-0061-2",
  "categories": [
    "math.AT",
    "math.CT",
    "math.KT"
  ],
  "abstract": "We exhibit examples of triangulated categories which are neither the stable category of a Frobenius category nor a full triangulated subcategory of the homotopy category of a stable model category. Even more drastically, our examples do not admit any non-trivial exact functors to or from these algebraic respectively topological triangulated categories.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-05-09T23:59:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18E30",
      "55P42"
    ],
    "keywords": [
      "non-trivial exact functors",
      "homotopy category",
      "stable model category",
      "frobenius category",
      "full triangulated subcategory"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Inventiones Mathematicae",
      "year": 2007,
      "month": "May",
      "volume": 170,
      "number": 2,
      "pages": 231
    },
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007InMat.170..231M"
    }
  }
}