{ "id": "math/9808138", "version": "v2", "published": "1998-08-15T00:00:00.000Z", "updated": "2002-01-02T19:30:09.000Z", "title": "Successors of singular cardinals and coloring theorems. I", "authors": [ "Todd Eisworth", "Saharon Shelah" ], "categories": [ "math.LO" ], "abstract": "We investigate the existence of strong colorings on successors of singular cardinals. This work continues Section 2 of [Sh:413] (math.LO/9809199), but now our emphasis is on finding colorings of pairs of ordinals, rather than colorings of finite sets of ordinals.", "revisions": [ { "version": "v2", "updated": "2002-01-02T19:30:09.000Z" } ], "analyses": { "keywords": [ "singular cardinals", "coloring theorems", "successors", "work continues section", "strong colorings" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1998math......8138E" } } }