{
  "id": "math/0511057",
  "version": "v1",
  "published": "2005-11-02T17:57:41.000Z",
  "updated": "2005-11-02T17:57:41.000Z",
  "title": "Model structures on pro-categories",
  "authors": [
    "Halvard Fausk",
    "Daniel C. Isaksen"
  ],
  "comment": "29 pages",
  "categories": [
    "math.AT"
  ],
  "abstract": "We introduce a notion of a filtered model structure and use this notion to produce various model structures on pro-categories. This framework generalizes several known examples. We give several examples, including a homotopy theory for $G$-spaces, where $G$ is a pro-finite group. The class of weak equivalences is an approximation to the class of underlying weak equivalences.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-11-02T17:57:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55U35",
      "55P91",
      "18G55"
    ],
    "keywords": [
      "pro-categories",
      "underlying weak equivalences",
      "framework generalizes",
      "pro-finite group",
      "filtered model structure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....11057F"
    }
  }
}