{ "id": "1603.04237", "version": "v1", "published": "2016-03-14T12:34:03.000Z", "updated": "2016-03-14T12:34:03.000Z", "title": "OD elements of countable OD sets in the Solovay model", "authors": [ "Vladimir Kanovei" ], "comment": "20 pages with index", "categories": [ "math.LO" ], "abstract": "It is true in the Solovay model that every countable ordinal-definable set of any kind contains only ordinal-definable elements.", "revisions": [ { "version": "v1", "updated": "2016-03-14T12:34:03.000Z" } ], "analyses": { "subjects": [ "03E45", "03E15" ], "keywords": [ "countable od sets", "solovay model", "od elements", "kind contains" ], "note": { "typesetting": "TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016arXiv160304237K" } } }