Kechris, Alexander S. (1978) Countable ordinals and the analytical hierarchy, II. Annals of Mathematical Logic, 15 (3). pp. 193-223. ISSN 0003-4843. https://resolver.caltech.edu/CaltechAUTHORS:20130522-081838953
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Abstract
This paper is a contribution to the study of projective sets under the hypothesis of definable determinacy. For our purposes here this can be understood as the hypothesis every set of rea1s in L[ω^ω] (= the smallest inner model of ZF containing ω^ω) is determined. Since questions about the projective hierarchy are absolute between the real world and L[ω^ω] it is innocuous to work entirely within L[ω^ω].
| Item Type: | Article | |||||||||
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| Additional Information: | © 1978 North Holland Publishing Company. Received 1 June 1977. Research and preparation for this paper were partially supported by NSF Grants MPS 75-07562 and MCS 76-17254 resp. | |||||||||
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| Issue or Number: | 3 | |||||||||
| Record Number: | CaltechAUTHORS:20130522-081838953 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20130522-081838953 | |||||||||
| Official Citation: | Alexander S. Kechris, Countable ordinals and the analytical hierarchy, II, Annals of Mathematical Logic, Volume 15, Issue 3, December 1978, Pages 193-223, ISSN 0003-4843, 10.1016/0003-4843(78)90010-4. (http://www.sciencedirect.com/science/article/pii/0003484378900104) | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 38623 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Ruth Sustaita | |||||||||
| Deposited On: | 22 May 2013 16:19 | |||||||||
| Last Modified: | 03 Oct 2019 04:59 |
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