{
  "id": "2411.18546",
  "version": "v1",
  "published": "2024-11-27T17:49:51.000Z",
  "updated": "2024-11-27T17:49:51.000Z",
  "title": "Homotopy limits of model categories, revisited",
  "authors": [
    "Julia E. Bergner"
  ],
  "comment": "18 pages. Expository paper",
  "journal": "in Equivariant Topology and Derived Algebra (S. Balchin et al, editors), London Mathematical Society Lecture Note Series 474 (2021)",
  "categories": [
    "math.AT",
    "math.CT"
  ],
  "abstract": "The definition of the homotopy limit of a diagram of left Quillen functors of model categories has been useful in a number of applications. In this paper we review its definition and summarize some of these applications. We conclude with a discussion of why we could work with right Quillen functors instead, but cannot work with a combination of the two.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-11-27T17:49:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55U40",
      "55U35",
      "18G55",
      "18G30",
      "18D20"
    ],
    "keywords": [
      "model categories",
      "homotopy limit",
      "left quillen functors",
      "right quillen functors",
      "definition"
    ],
    "tags": [
      "expository article",
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}