Published March 15, 1983
| Published
Journal Article
Open
Equivalence of partition properties and determinacy
- Creators
-
Kechris, Alexander S.
- Woodin, W. Hugh
Chicago
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Abstract
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.Attached Files
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Additional details
- PMCID
- PMC393690
- Eprint ID
- 9597
- Resolver ID
- CaltechAUTHORS:KECpnas83
- NSF
- MCS 81-17804
- Alfred P. Sloan Foundation
- Created
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2008-02-12Created from EPrint's datestamp field
- Updated
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2019-10-03Created from EPrint's last_modified field