Canonical partition relations

Journal of Symbolic Logic 40 (4):541-554 (1975)
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Abstract

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

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Citations of this work

Separating families and order dimension of Turing degrees.Ashutosh Kumar & Dilip Raghavan - 2021 - Annals of Pure and Applied Logic 172 (5):102911.
In memoriam: James Earl Baumgartner (1943–2011).J. A. Larson - 2017 - Archive for Mathematical Logic 56 (7):877-909.
Locally Orderable Structures.Guus Broesterhuizen - 1982 - Mathematical Logic Quarterly 28 (1‐3):7-14.

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References found in this work

Some applications of model theory in set theory.Jack H. Silver - 1971 - Annals of Mathematical Logic 3 (1):45.

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