More results in polychromatic Ramsey theory

Uri Abraham, James Cummings

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

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.

Original languageEnglish
Pages (from-to)1004-1016
Number of pages13
JournalCentral European Journal of Mathematics
Volume10
Issue number3
DOIs
StatePublished - 1 Jun 2012

Keywords

  • Models as side conditions
  • Polychromatic Ramsey theory
  • Proper forcing

ASJC Scopus subject areas

  • Mathematics (all)

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