Stable Ramsey's Theorem and Measure

Abstract

The stable Ramsey’s theorem for pairs has been the subject of numerous investigations in mathematical logic. We introduce a weaker form of it by restricting from the class of all stable colorings to subclasses of it that are non-null in a certain effective measure-theoretic sense. We show that the sets that can compute infinite homogeneous sets for non-null… (More)
DOI: 10.1215/00294527-2010-039
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