More results in polychromatic Ramsey theory
Uri Abraham ; James Cummings
Open Mathematics, Tome 10 (2012), p. 1004-1016 / Harvested from The Polish Digital Mathematics Library
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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) 2ω = ω 2 and ω2→poly(α)ℵ0-bdd2 for every α <ω 2; (2) 2ω = ω 2 and ω2↛poly(ω1)2-bdd2 .

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:269526 
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     author = {Uri Abraham and James Cummings},
     title = {More results in polychromatic Ramsey theory},
     journal = {Open Mathematics},
     volume = {10},
     year = {2012},
     pages = {1004-1016},
     zbl = {1258.03054},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0037-3}
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Uri Abraham; James Cummings. More results in polychromatic Ramsey theory. Open Mathematics, Tome 10 (2012) pp. 1004-1016. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0037-3/

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