{ "id": "math/9501220", "version": "v1", "published": "1995-01-15T00:00:00.000Z", "updated": "1995-01-15T00:00:00.000Z", "title": "The tree property at successors of singular cardinals", "authors": [ "Menachem Magidor", "Saharon Shelah" ], "journal": "Arch. Math. Logic 35 (1996), 385--404", "categories": [ "math.LO" ], "abstract": "Assuming some large cardinals, a model of ZFC is obtained in which aleph_{omega+1} carries no Aronszajn trees. It is also shown that if lambda is a singular limit of strongly compact cardinals, then lambda^+ carries no Aronszajn trees.", "revisions": [ { "version": "v1", "updated": "1995-01-15T00:00:00.000Z" } ], "analyses": { "keywords": [ "singular cardinals", "tree property", "successors", "aronszajn trees", "large cardinals" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1995math......1220M" } } }