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Canonical Partition Relations

Published online by Cambridge University Press:  12 March 2014

James E. Baumgartner
James E. Baumgartner*
Affiliation:
Dartmouth College, Hanover, New Hampshire 03755
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Abstract

Several canonical partition theorems are obtained, including a simultaneous generalization of Neumer's lemma and the Erdös-Rado theorem. The canonical partition relation for infinite cardinals is completely determined, answering a question of Erdös and Rado. Counterexamples are given showing that in several ways these results cannot be improved.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 40 , Issue 4 , December 1975 , pp. 541 - 554
Copyright
Copyright © Association for Symbolic Logic 1975

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References

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