{ "id": "math/9706205", "version": "v1", "published": "1997-06-11T00:00:00.000Z", "updated": "1997-06-11T00:00:00.000Z", "title": "Weak covering and the tree property", "authors": [ "Ralf Schindler" ], "categories": [ "math.LO" ], "abstract": "Suppose that there's no transitive model of ZFC + there's a strong cardinal, and let K denote the core model. It is shown that if \\delta has the tree property then \\delta^{+K} = \\delta^+ and \\delta is weakly compact in K.", "revisions": [ { "version": "v1", "updated": "1997-06-11T00:00:00.000Z" } ], "analyses": { "keywords": [ "tree property", "weak covering", "core model", "strong cardinal" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1997math......6205S" } } }