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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A partition relation using strongly compact cardinals


Author: Saharon Shelah
Journal: Proc. Amer. Math. Soc. 131 (2003), 2585-2592
MSC (2000): Primary 03E02
Published electronically: December 30, 2002
MathSciNet review: 1974659
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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 $.


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Additional Information

Saharon Shelah
Affiliation: Institute of Mathematics, The Hebrew University, Jerusalem, Israel – and – Department of Mathematics, Rutgers University, New Brunswick, New Jersey
Email: shelah@math.huji.ac.il

DOI: http://dx.doi.org/10.1090/S0002-9939-02-06789-8
PII: S 0002-9939(02)06789-8
Received by editor(s): January 16, 2002
Received by editor(s) in revised form: March 12, 2002
Published electronically: December 30, 2002
Additional Notes: The author thanks Alice Leonhardt for the beautiful typing
Research of the author was partially supported by the United States-Israel Binational Science Foundation. Publication 761
Communicated by: Carl G. Jockusch, Jr.
Article copyright: © Copyright 2002 American Mathematical Society