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A Partition Theorem for Pairs of Finite Sets
1991
Journal of The American Mathematical Society
Every partition of [[ω 1 ] <ω ] 2 into finitely many pieces has a cofinal homogeneous set. Furthermore, it is consistent that every directed partially ordered set satisfies the partition property if and only if it has finite character.
doi:10.2307/2939283
fatcat:v2fv75oloffuzpdeceikqtswbm