{ "id": "1212.4541", "version": "v2", "published": "2012-12-19T00:05:52.000Z", "updated": "2014-06-16T21:45:59.000Z", "title": "Homotopy colimits of model categories", "authors": [ "Julia E. Bergner" ], "comment": "7 pages; substantial changes to construction. To appear in Arolla proceedings", "categories": [ "math.AT", "math.CT" ], "abstract": "Building on a previous definition of homotopy limit of model categories, we give a definition of homotopy colimit of model categories. Using the complete Segal space model for homotopy theories, we verify that this definition corresponds to the model-category-theoretic definition in that setting.", "revisions": [ { "version": "v2", "updated": "2014-06-16T21:45:59.000Z" } ], "analyses": { "subjects": [ "55U40" ], "keywords": [ "model categories", "homotopy colimit", "complete segal space model", "model-category-theoretic definition", "homotopy limit" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1212.4541B" } } }