{ "id": "1608.06727", "version": "v1", "published": "2016-08-24T06:26:46.000Z", "updated": "2016-08-24T06:26:46.000Z", "title": "Definable tree property can hold at all uncountable regular cardinals", "authors": [ "Mohammad Golshani" ], "categories": [ "math.LO" ], "abstract": "Starting from a supercompact cardinal and a measurable above it, we construct a model of ZFC in which definable tree property holds at all uncountable regular cardinals. This answers a question from [1].", "revisions": [ { "version": "v1", "updated": "2016-08-24T06:26:46.000Z" } ], "analyses": { "keywords": [ "uncountable regular cardinals", "definable tree property holds", "supercompact cardinal" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }