{ "id": "math/9905115", "version": "v1", "published": "1999-05-19T20:23:43.000Z", "updated": "1999-05-19T20:23:43.000Z", "title": "Splitting number", "authors": [ "Tomek Bartoszynski" ], "journal": "Proceedings of the American Mathematical Society, 125 (1997), 2141-2145", "categories": [ "math.LO" ], "abstract": "It is shown that it is consistent with ZFC that every uncountable set can be continuously mapped onto a splitting family.", "revisions": [ { "version": "v1", "updated": "1999-05-19T20:23:43.000Z" } ], "analyses": { "keywords": [ "splitting number", "consistent" ], "tags": [ "journal article" ], "publication": { "publisher": "AMS", "journal": "Proc. Amer. Math. Soc." }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1999math......5115B" } } }