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More results in polychromatic Ramsey theory

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Abraham U., Cummings J.

Open Mathematics

2012

tom 10

nr 3

1004-1016

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 $\omega _2 \to ^{poly} (\alpha )_{\aleph _0 - bdd}^2 $ for every α <ω 2; (2) 2ω = ω 2 and $\omega _2 \nrightarrow ^{poly} (\omega _1 )_{2 - bdd}^2 $ .

Ograniczanie wyników

1 Open Mathematics

1 Abraham U.

1 Cummings J.

1 2012

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More results in polychromatic Ramsey theory