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The strong partition relation on ω 1 revisited
Author(s) -
Jackson Steve,
May Russell
Publication year - 2004
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.200310073
Subject(s) - mathematics , determinacy , partition (number theory) , axiom , relation (database) , measure (data warehouse) , argument (complex analysis) , axiom of choice , discrete mathematics , pure mathematics , combinatorics , mathematical analysis , computer science , set theory , data mining , geometry , biochemistry , chemistry , set (abstract data type) , programming language
We give a new proof of the strong partition relation on ω 1 , assuming the axiom of determinacy, which uses only a general argument not involving the complete analysis of a measure on ω 1 . (© 2003 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)