Canonical Partition Relations
- 1 December 1975
- journal article
- Published by Cambridge University Press (CUP) in The Journal of Symbolic Logic
- Vol. 40 (4) , 541-554
- https://doi.org/10.2307/2271778
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.Keywords
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