Kechris, Alexander S. and Woodin, W. Hugh (1983) Equivalence of partition properties and determinacy. Proceedings of the National Academy of Sciences of the United States of America, 80 (6). pp. 1783-1786. ISSN 0027-8424 http://resolver.caltech.edu/CaltechAUTHORS:KECpnas83
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It is shown that, within L(R), the smallest inner model of set theory containing the reals, the axiom of determinacy is equivalent to the existence of arbitrarily large cardinals below Θ with the strong partition property ĸ → (ĸ)^ĸ.
|Additional Information:||© 1983 by the National Academy of Sciences. Communicated by Stephen C. Kleene, December 15, 1982. This research was partially supported by National Science Foundation Grant MCS 81-17804. A.S.K. is an A.P. Sloan Foundation Fellow. The publication costs of this article were defrayed in part by page charge payment. This article must therefore be hereby marked "advertisement" in accordance with 18 U.S.C. §1734 solely to indicate this fact.|
|Subject Keywords:||set theory; descriptive set theory; constructible from the reals universe|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Tony Diaz|
|Deposited On:||12 Feb 2008|
|Last Modified:||26 Dec 2012 09:50|
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