{
  "id": "2402.04220",
  "version": "v1",
  "published": "2024-02-06T18:25:09.000Z",
  "updated": "2024-02-06T18:25:09.000Z",
  "title": "A concise proof of the stable model structure on symmetric spectra",
  "authors": [
    "Cary Malkiewich",
    "Maru Sarazola"
  ],
  "comment": "5 pages, comments welcome!",
  "categories": [
    "math.AT"
  ],
  "abstract": "It is well-known that the stable model structure on symmetric spectra cannot be transferred from the one on sequential spectra through the forgetful functor. We use the fibrant transfer theorem of Guetta--Moser--Sarazola--Verdugo to show it can be transferred between fibrant objects, providing a new, short and conceptual proof of its existence.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-02-06T18:25:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55P42",
      "18N40",
      "55U35"
    ],
    "keywords": [
      "stable model structure",
      "symmetric spectra",
      "concise proof",
      "fibrant transfer theorem",
      "sequential spectra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}