{ "id": "1604.01564", "version": "v1", "published": "2016-04-06T09:58:42.000Z", "updated": "2016-04-06T09:58:42.000Z", "title": "Diagonal supercompact Radin forcing", "authors": [ "Omer Ben-Neria", "Chris Lambie-Hanson", "Spencer Unger" ], "comment": "15 pages", "categories": [ "math.LO" ], "abstract": "Motivated by the goal of constructing a model in which there are no $\\kappa$-Aronszajn trees for any regular $\\kappa>\\aleph_1$, we produce a model with many singular cardinals where both the singular cardinals hypothesis and weak square fail.", "revisions": [ { "version": "v1", "updated": "2016-04-06T09:58:42.000Z" } ], "analyses": { "subjects": [ "03E35", "03E55", "03E05" ], "keywords": [ "diagonal supercompact radin forcing", "singular cardinals hypothesis", "weak square fail", "aronszajn trees" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016arXiv160401564B" } } }