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. 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 | |||||||||
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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. | |||||||||
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| Issue or Number: | 1 | |||||||||
| Classification Code: | 1980 Mathematics Subject Classification. Primary 02K30, 02K05 | |||||||||
| DOI: | 10.2307/1999790 | |||||||||
| 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: | 09 Nov 2021 23:38 |
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