{ "id": "math/9710216", "version": "v1", "published": "1997-10-15T00:00:00.000Z", "updated": "1997-10-15T00:00:00.000Z", "title": "Consistency of partition relation for cardinal in (lambda,2^lambda)", "authors": [ "Saharon Shelah", "Lee Stanley" ], "categories": [ "math.LO" ], "abstract": "We present a forcing for blowing up 2^lambda and making ``many positive polarized partition relations'' (in a sense made precise in (c) of our main theorem) hold in the interval [lambda, 2^lambda]. This generalizes results of [276], Section 1, and the forcing is a ``many cardinals'' version of the forcing there.", "revisions": [ { "version": "v1", "updated": "1997-10-15T00:00:00.000Z" } ], "analyses": { "keywords": [ "consistency", "positive polarized partition relations", "main theorem", "generalizes results" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1997math.....10216S" } } }