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A polarized partition relation using elementary substructures

Published online by Cambridge University Press:  12 March 2014

Albin L. Jones
Albin L. Jones*
Affiliation:
Department of Mathematics, Kenyon College, Gambier, OH 43022, USA, E-mail:jones@kenyon.edu
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Abstract

Working in ZFC, we show that for any infinite cardinal k and ordinal y < (2<k)+ the polarized partition relation

holds. Our proof of this relation involves the use of elementary substructures of set models of large fragments of ZFC.

Keywords

elementary substructurespolarized partition relationsRamsey theorytransfinite numbers
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 65 , Issue 4 , December 2000 , pp. 1491 - 1498
Copyright
Copyright © Association for Symbolic Logic 2000

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References

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