Date of Original Version

2-2012

Type

Article

Rights Management

The final publication is available at Springer via http://dx.doi.org/10.2478/s11533-012-0037-3

Abstract or Description

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 ω2→poly(α)2ℵ0−bdd for everyα <ω 2; (2) 2 ω = ω 2 and ω2↛poly(ω1)22−bdd.

DOI

10.2478/s11533-012-0037-3

Included in

Mathematics Commons

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Published In

Central European Journal of Mathematics, 10, 3, 1104-1016.