{ "id": "1112.0625", "version": "v1", "published": "2011-12-03T07:00:46.000Z", "updated": "2011-12-03T07:00:46.000Z", "title": "An infinite loop space machine for infinity-operads", "authors": [ "Gijs Heuts" ], "categories": [ "math.AT", "math.CT" ], "abstract": "This paper describes a consequence of the more general results of a previous paper which is of independent interest. We construct a functor from the category of dendroidal sets, which models the theory of infinity-operads, into the category of E-infinity-spaces. Applying May's infinite loop space machine for E-infinity-spaces then gives an infinite loop space machine for infinity-operads. We show that our machine exhibits the homotopy theory of E-infinity-spaces as a localization of the homotopy theory of infinity-operads.", "revisions": [ { "version": "v1", "updated": "2011-12-03T07:00:46.000Z" } ], "analyses": { "keywords": [ "infinity-operads", "mays infinite loop space machine", "homotopy theory", "applying mays infinite loop space", "e-infinity-spaces" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1112.0625H" } } }