{ "id": "math/0508507", "version": "v1", "published": "2005-08-25T13:57:24.000Z", "updated": "2005-08-25T13:57:24.000Z", "title": "Computable structures of rank omega_1^{CK}", "authors": [ "Julia Knight", "Jessica Millar" ], "comment": "13 pages, submitted to the Journal of Mathematical Logic Aug 2004", "categories": [ "math.LO" ], "abstract": "We obtain a computable structure of Scott rank omega_1^{CK} (call this ock), and give a general coding procedure that transforms any hyperarithmetical structure A into a computable structure A' such that the rank of A is ock, ock+1, or < ock iff the same is true of A'.", "revisions": [ { "version": "v1", "updated": "2005-08-25T13:57:24.000Z" } ], "analyses": { "subjects": [ "03C57", "03D60" ], "keywords": [ "computable structure", "scott rank", "general coding procedure" ], "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math......8507K" } } }