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On the Relative Consistency Strength of Determinacy Hypothesis

Kechris, Alexander S. and Solovay, Robert M. (1985) On the Relative Consistency Strength of Determinacy Hypothesis. Transactions of the American Mathematical Society, 290 (1). pp. 179-211. ISSN 0002-9947. https://resolver.caltech.edu/CaltechAUTHORS:20130522-101108599

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Abstract

For any collection of sets of reals C, let C-DET be the statement that all sets of reals in C are determined. In this paper we study questions of the form: For given C ⊆ C', when is C'-DET equivalent, equiconsistent or strictly stronger in consistency strength than C-DET (modulo ZFC)? We focus especially on classes C contained in the projective sets.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.2307/1999790DOIUNSPECIFIED
http://www.jstor.org/stable/info/1999790PublisherUNSPECIFIED
Additional Information:© 1985 American Mathematical Society. Received by the editors July 6, 1984. Partially supported by NSF Grant MCS 79-20465 and an A. P. Sloan Foundation Fellowship. Partially supported by NSF Grant MCS 79-06077.
Funders:
Funding AgencyGrant Number
NSFMCS 79-20465
A. P. Sloan Foundation FellowshipUNSPECIFIED
NSFMCS 79-06077
Issue or Number:1
Classification Code:1980 Mathematics Subject Classification. Primary 02K30, 02K05
Record Number:CaltechAUTHORS:20130522-101108599
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20130522-101108599
Official Citation:On the Relative Consistency Strength of Determinacy Hypothesis(pp. 179-211) Alexander S. Kechris and Robert M. Solovay Stable URL: http://www.jstor.org/stable/1999790
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:38630
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:22 May 2013 17:42
Last Modified:03 Oct 2019 04:59

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