{ "id": "math/0103155", "version": "v1", "published": "2001-03-24T21:42:27.000Z", "updated": "2001-03-24T21:42:27.000Z", "title": "A partition relation using strongly compact cardinals", "authors": [ "Saharon Shelah" ], "categories": [ "math.LO" ], "abstract": "If kappa is strongly compact, lambda > kappa is regular, then (2^{< lambda})^+ --> (lambda+eta)^2_theta holds for eta,theta