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The Erd\H{o}s--Rado Arrow for Singular Cardinals

  Published:2009-03-01
 Printed: Mar 2009
  • Saharon Shelah
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Abstract

We prove in ZFC that if $\cf(\lambda)>\aleph_0$ and $2^{\cf (\lambda)}<\lambda$, then $\lambda \rightarrow (\lambda,\omega+1)^2$.
Keywords: set theory, partition calculus set theory, partition calculus
MSC Classifications: 03E20 show english descriptions Other classical set theory (including functions, relations, and set algebra) 03E20 - Other classical set theory (including functions, relations, and set algebra)
 

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