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arXiv:math/9201248 [math.LO]AbstractReferencesReviewsResources

A partition theorem for pairs of finite sets

Thomas Jech, Saharon Shelah

Published 1991-01-15Version 1

Every partition of [[omega_1]^{< omega}]^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.

Journal: J. Amer. Math. Soc. 4 (1991), 647--656
Categories: math.LO
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