{ "id": "1109.1601", "version": "v2", "published": "2011-09-07T23:22:21.000Z", "updated": "2011-12-29T13:34:40.000Z", "title": "Additivity of the dp-rank", "authors": [ "Itay Kaplan", "Alf Onshuus", "Alexander Usvyatsov" ], "categories": [ "math.LO", "math.CO" ], "abstract": "The main result of this article is sub-additivity of the dp-rank. We also show that the study of theories of finite dp-rank can not be reduced to the study of its dp-minimal types, and discuss the possible relations between dp-rank and VC-density.", "revisions": [ { "version": "v2", "updated": "2011-12-29T13:34:40.000Z" } ], "analyses": { "keywords": [ "main result", "finite dp-rank", "dp-minimal types", "sub-additivity" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1109.1601K" } } }