@article{da049b0a945b4af0995b86771a0c51ed,
title = "More results in polychromatic Ramsey theory",
abstract = "We study polychromatic Ramsey theory with a focus on colourings of [ω 2] 2. We show that in the absence of GCH there is a wide range of possibilities. In particular each of the following is consistent relative to the consistency of ZFC: (1) 2 ω = ω 2 and for every α < ω 2; (2) 2 ω = ω 2.",
keywords = "Models as side conditions, Polychromatic Ramsey theory, Proper forcing",
author = "Uri Abraham and James Cummings",
note = "Funding Information: The second author was partially supported by NSF grant DMS-0654046. Much of the research described in this paper was done while Cummings was visiting the Ben-Gurion University of the Negev in July 2008, as a Faculty of Natural Sciences Distinguished Scientist Visitors Program Visiting Fellow. He would like to acknowledge support from the visitors program, and to thank the Mathematics Department for its warm hospitality.",
year = "2012",
month = jun,
day = "1",
doi = "10.2478/s11533-012-0037-3",
language = "English",
volume = "10",
pages = "1004--1016",
journal = "Central European Journal of Mathematics",
issn = "1895-1074",
publisher = "Walter de Gruyter GmbH",
number = "3",
}