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DETERMINACY AND JÓNSSON CARDINALS IN L(ℝ)

Published online by Cambridge University Press:  12 December 2014

S. JACKSON ,
R. KETCHERSID ,
F. SCHLUTZENBERG  and
W. H. WOODIN
S. JACKSON
Affiliation:
DEPARTMENT OF MATHEMATICS UNIVERSITY OF NORTH TEXAS DENTON, TX 76203, USAE-mail: [email protected]
F. SCHLUTZENBERG
Affiliation:
DEPARTMENT OF MATHEMATICS UNIVERSITY OF ARIZONA TUCSON, AZ 85721, USAE-mail: [email protected]
W. H. WOODIN
Affiliation:
PROFESSOR OF MATHEMATICS AND OF PHILOSOPHY HARVARD UNIVERSITY CAMBRIDGE MA 02138, USAE-mail: [email protected]
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Abstract

Assume ZF + AD + V = L(ℝ) and let κ < Θ be an uncountable cardinal. We show that κ is Jónsson, and that if cof (κ) = ω then κ is Rowbottom. We also establish some other partition properties.

Keywords

03E0203E4503E5503E60J´onsson cardinaldeterminacypartition propertiesinner modelHOD
Type
Articles
Information
The Journal of Symbolic Logic , Volume 79 , Issue 4 , December 2014 , pp. 1184 - 1198
Copyright
Copyright © The Association for Symbolic Logic 2014 

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References

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