NDLI: A Partition Theorem for Pairs of Finite Sets

Content Provider	Scilit
Author	Jech, Thomas Shelah, Saharon
Copyright Year	1991
Description	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.
Related Links	https://www.ams.org/jams/1991-04-04/S0894-0347-1991-1122043-8/S0894-0347-1991-1122043-8.pdf
Ending Page	656
Page Count	10
Starting Page	647
ISSN	08940347
e-ISSN	10886834
DOI	10.2307/2939283
Journal	Journal of the American Mathematical Society
Issue Number	4
Volume Number	4
Language	English
Publisher	Duke University Press
Publisher Date	1991-10-01
Access Restriction	Open
Subject Keyword	Logic Satisfiability Partially Ordered Set
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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A Partition Theorem for Pairs of Finite Sets