A partition relation using strongly compact cardinals

Shelah, Saharon

doi:10.1090/S0002-9939-02-06789-8

A partition relation using strongly compact cardinals
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by Saharon Shelah

Proc. Amer. Math. Soc. 131 (2003), 2585-2592

DOI: https://doi.org/10.1090/S0002-9939-02-06789-8

Published electronically: December 30, 2002

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Abstract:

If $\kappa$ is strongly compact and $\lambda > \kappa$ and $\lambda$ is regular (or alternatively cf$(\lambda ) \ge \kappa )$, then $\left (2^{<\lambda }\right )^{+} \rightarrow (\lambda + \zeta )^{2}_{\theta }$ holds for $\zeta ,\theta < \kappa$.

References

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