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Countable ordinals and the analytical hierarchy, II

Kechris, Alexander S. (1978) Countable ordinals and the analytical hierarchy, II. Annals of Mathematical Logic, 15 (3). pp. 193-223. ISSN 0003-4843. doi:10.1016/0003-4843(78)90010-4.

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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].

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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.
Funding AgencyGrant Number
NSFMPS 75-07562
NSFMCS 76-17254
Issue or Number:3
Record Number:CaltechAUTHORS:20130522-081838953
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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. (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:38623
Deposited By: Ruth Sustaita
Deposited On:22 May 2013 16:19
Last Modified:09 Nov 2021 23:38

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