{ "id": "2105.00322", "version": "v1", "published": "2021-05-01T18:35:26.000Z", "updated": "2021-05-01T18:35:26.000Z", "title": "Failures of square in Pmax extensions of Chang models", "authors": [ "Paul B. Larson", "Grigor Sargsyan" ], "categories": [ "math.LO" ], "abstract": "We show that the statements $\\square(\\omega_{3})$ and $\\square(\\omega_{4})$ both fail in the $\\mathbb{P}_{\\mathrm{max}}$ extension of a variation of the Chang model introduced by Sargsyan.", "revisions": [ { "version": "v1", "updated": "2021-05-01T18:35:26.000Z" } ], "analyses": { "subjects": [ "03E45" ], "keywords": [ "chang model", "pmax extensions", "statements" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }