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Journal of the American Mathematical Society
Journal of the American Mathematical Society
ISSN 1088-6834(online) ISSN 0894-0347(print)

A partition theorem for pairs of finite sets


Authors: Thomas Jech and Saharon Shelah
Journal: J. Amer. Math. Soc. 4 (1991), 647-656
MSC: Primary 03E05; Secondary 03E35, 04A20, 05D10
MathSciNet review: 1122043
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Abstract: 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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Additional Information

DOI: http://dx.doi.org/10.1090/S0894-0347-1991-1122043-8
PII: S 0894-0347(1991)1122043-8
Article copyright: © Copyright 1991 American Mathematical Society