{ "id": "1209.1087", "version": "v2", "published": "2012-09-05T19:55:24.000Z", "updated": "2014-12-30T09:36:10.000Z", "title": "The homotopy theory of simplicial props", "authors": [ "Philip Hackney", "Marcy Robertson" ], "comment": "Major revision, including a substantial expansion of the proof of 4.12. Comments welcome!", "categories": [ "math.AT", "math.CT" ], "abstract": "The category of (colored) props is an enhancement of the category of colored operads, and thus of the category of small categories. In this paper, the second in a series on \"higher props,\" we show that the category of all small colored simplicial props admits a cofibrantly generated model category structure. With this model structure, the forgetful functor from props to operads is a right Quillen functor.", "revisions": [ { "version": "v1", "updated": "2012-09-05T19:55:24.000Z", "comment": null, "journal": null, "doi": null }, { "version": "v2", "updated": "2014-12-30T09:36:10.000Z" } ], "analyses": { "subjects": [ "55U35", "18D10", "18D50", "18G55", "19D23", "55U10" ], "keywords": [ "homotopy theory", "small colored simplicial props admits", "right quillen functor", "cofibrantly generated model category structure" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1209.1087H" } } }