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Search: MSC category 03E20 ( Other classical set theory (including functions, relations, and set algebra) )

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1. CMB 2009 (vol 52 pp. 127)

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

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