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The consistency of one fixed omega
Published online by Cambridge University Press: 12 March 2014
Abstract
The paper “Partitions of Products” [DiPH] investigated the polarized partition relation
The relation is consistent relative to an inaccessible cardinal if every αi is finite, but inconsistent if two are infinite. We show here that it consistent (relative to an inaccessible) for one to be infinite.
Along the way, we prove an interesting proposition from ZFC concerning partitions of the finite subsets of ω.
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- Copyright © Association for Symbolic Logic 1995
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