{ "id": "1408.0038", "version": "v2", "published": "2014-07-31T22:03:28.000Z", "updated": "2014-10-03T22:21:19.000Z", "title": "Equivalence of models for equivariant $(\\infty, 1)$-categories", "authors": [ "Julia E. Bergner" ], "comment": "15 pages; minor corrections made in version 2", "categories": [ "math.AT", "math.CT" ], "abstract": "In this paper we show that the known models for $(\\infty, 1)$-categories can all be extended to equivariant versions for any discrete group $G$. We show that in two of the models we can also consider actions of any simplicial group $G$.", "revisions": [ { "version": "v1", "updated": "2014-07-31T22:03:28.000Z", "comment": "15 pages", "journal": null, "doi": null }, { "version": "v2", "updated": "2014-10-03T22:21:19.000Z" } ], "analyses": { "subjects": [ "55U35", "55P91", "55U40", "18G55" ], "keywords": [ "categories", "equivalence", "equivariant versions" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1408.0038B" } } }