{
  "id": "0708.2067",
  "version": "v2",
  "published": "2007-08-15T16:10:09.000Z",
  "updated": "2007-11-29T15:59:27.000Z",
  "title": "On (Enriched) Left Bousfield Localization of Model Categories",
  "authors": [
    "Clark Barwick"
  ],
  "comment": "40 pages. Comments sincerely welcomed",
  "categories": [
    "math.AT",
    "math.CT"
  ],
  "abstract": "I verify the existence of left Bousfield localizations and of enriched left Bousfield localizations, and I prove a collection of useful technical results characterizing certain fibrations of (enriched) left Bousfield localizations. I also use such Bousfield localizations to construct a number of new model categories, including models for the homotopy limit of right Quillen presheaves, for Postnikov towers in model categories, and for presheaves valued in a symmetric monoidal model category satisfying a homotopy-coherent descent condition.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-11-29T15:59:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18G55"
    ],
    "keywords": [
      "homotopy-coherent descent condition",
      "symmetric monoidal model category satisfying",
      "enriched left bousfield localizations",
      "right quillen presheaves",
      "homotopy limit"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 40,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0708.2067B"
    }
  }
}