Polarized Partition Relations

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Journal of Symbolic Logic 66 (2):811-821 (2001)
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Abstract

It is shown that for any cardinal $\kappa, \dbinom{^{++}} {^+} \rightarrow \dbinom{\kappa}{\kappa}_{< \mathrm{cf} \kappa}$, and if $\kappa$ is weakly compact $\dbinom{\kappa^+}{\kappa} \rightarrow \dbinom{\kappa}{\kappa}_{< \kappa}$.

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In memoriam: James Earl Baumgartner (1943–2011).J. A. Larson - 2017 - Archive for Mathematical Logic 56 (7):877-909.

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