{ "id": "1910.05834", "version": "v1", "published": "2019-10-13T21:11:55.000Z", "updated": "2019-10-13T21:11:55.000Z", "title": "On $\\aleph_ω$ being Jónsson", "authors": [ "Monroe Eskew" ], "categories": [ "math.LO" ], "abstract": "We discuss a system of strengthenings of \"$\\aleph_\\omega$ is J\\'onsson\" indexed by real numbers, and identify a strongest one. We give a proof of a theorem of Silver and show that there is a barrier to weakening its hypothesis.", "revisions": [ { "version": "v1", "updated": "2019-10-13T21:11:55.000Z" } ], "analyses": { "keywords": [ "real numbers", "strengthenings", "hypothesis" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }