{ "id": "1906.10213", "version": "v1", "published": "2019-06-24T20:06:29.000Z", "updated": "2019-06-24T20:06:29.000Z", "title": "${\\sf MM}^{++}$ implies $(*)$", "authors": [ "David Asperó", "Ralf Schindler" ], "comment": "20 pages", "categories": [ "math.LO" ], "abstract": "We show that Martin's Maximum${}^{++}$ implies Woodin's ${\\mathbb P}_{\\rm max}$ axiom $(*)$.", "revisions": [ { "version": "v1", "updated": "2019-06-24T20:06:29.000Z" } ], "analyses": { "keywords": [ "martins maximum", "implies woodins" ], "note": { "typesetting": "TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable" } } }