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AD and projective ordinals

Kechris, Alexander S. (1978) AD and projective ordinals. In: Cabal Seminar 76-77. No.689. Springer , Berlin, pp. 91-132. ISBN 978-3-540-09086-1. https://resolver.caltech.edu/CaltechAUTHORS:20130528-134758796

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Abstract

This is an unpolished exposition of some work in the theory of projective ordinals under the hypothesis of definable determinacy. This is understood here as the hypothesis that every set of reals in L[R] is determined. Since the projective ordinals are absolute between the real world and L[R] we carry this study entirely within L[R]. Thus we will use the full Axiom of Determinacy (AD) together with ZF + DC (DC is of course the only choice principle that is preserved under this transition to L[R]).


Item Type:Book Section
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http://dx.doi.org/10.1007/BFb0069296DOIArticle
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Additional Information:© 1978 Springer-Verlag. Preparation for this paper was partially supported by NSF Grant MCS 76-17254. The author would like to thank R. M. Solovay for many interesting and helpful discussions on the topics presented in this paper.
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Funding AgencyGrant Number
NSFMCS 76-17254
Issue or Number:689
Record Number:CaltechAUTHORS:20130528-134758796
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20130528-134758796
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:38695
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:04 Jun 2013 19:24
Last Modified:24 Jul 2020 21:55

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