A partition theorem for pairs of finite sets

Details A partition theorem for pairs of finite sets A partition theorem for pairs of finite sets

1991-01-15

arxiv.org/abs/math/9201248v1

J. Amer. Math. Soc. 4 (1991), 647--656

Mathematics

Logic

Scientific paper

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.

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