{ "id": "1203.6891", "version": "v3", "published": "2012-03-30T19:06:14.000Z", "updated": "2014-05-19T12:51:22.000Z", "title": "Dendroidal sets as models for connective spectra", "authors": [ "Matija Bašić", "Thomas Nikolaus" ], "comment": "27 pages, final version, accepted for publication in Journal of K-theory", "categories": [ "math.AT", "math.CT" ], "abstract": "Dendroidal sets have been introduced as a combinatorial model for homotopy coherent operads. We introduce the notion of fully Kan dendroidal sets and show that there is a model structure on the category of dendroidal sets with fibrant objects given by fully Kan dendroidal sets. Moreover we show that the resulting homotopy theory is equivalent to the homotopy theory of connective spectra.", "revisions": [ { "version": "v3", "updated": "2014-05-19T12:51:22.000Z" } ], "analyses": { "keywords": [ "connective spectra", "fully kan dendroidal sets", "homotopy coherent operads", "combinatorial model", "model structure" ], "note": { "typesetting": "TeX", "pages": 27, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1203.6891B" } } }