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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. doi:10.2307/1999790.

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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.

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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.
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
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Official Citation:On the Relative Consistency Strength of Determinacy Hypothesis(pp. 179-211) Alexander S. Kechris and Robert M. Solovay Stable URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:38630
Deposited By: Ruth Sustaita
Deposited On:22 May 2013 17:42
Last Modified:09 Nov 2021 23:38

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