{ "id": "1810.08763", "version": "v1", "published": "2018-10-20T07:18:28.000Z", "updated": "2018-10-20T07:18:28.000Z", "title": "There is a $+$-Ramsey \\textsf{MAD} family", "authors": [ "Osvaldo Guzman" ], "categories": [ "math.LO" ], "abstract": "We answer an old question of Michael Hru\\v{s}\\'{a}k by constructing a $+$-Ramsey \\textsf{MAD} family without the need of any additional axioms beyond $\\mathsf{ZFC.}$ We also prove that every Miller-indestructible \\textsf{MAD }family is $+$-Ramsey, this improves a result of Michael Hru\\v{s}\\'{a}k.", "revisions": [ { "version": "v1", "updated": "2018-10-20T07:18:28.000Z" } ], "analyses": { "keywords": [ "old question", "additional axioms" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }