Kechris, Alexander S. (1988) Subsets of ℵ_1 constructible from a real. In: Cabal Seminar 81-85. Lecture Notes in Mathematics. No.1333. Springer , Berlin, pp. 110-116. ISBN 978-3-540-50020-9. https://resolver.caltech.edu/CaltechAUTHORS:20130612-090419888
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Abstract
The purpose of this paper is to give a necessary and sufficient condition for a subset of ℵ_1 to be constructible from a real in terms of structural properties of the code set of A, valid under the condition that an appropriate measurable cardinal exists. This can be combined with recent results of Woodin to provide upper bounds for the consistency strength, of theories of the form ZFC + ∀x Є ω^ω(x^# exists)+ "every subset of ℵ_1 with code set in Г is constructible from a real," for various pointclasses Г.
| Item Type: | Book Section | |||||||||
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| Additional Information: | © 1988 Springer. Research partially supported by NSF Grants MCS-8117804 and DMS-8416349. | |||||||||
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| Series Name: | Lecture Notes in Mathematics | |||||||||
| Issue or Number: | 1333 | |||||||||
| DOI: | 10.1007/BFb0084973 | |||||||||
| Record Number: | CaltechAUTHORS:20130612-090419888 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20130612-090419888 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 38904 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Ruth Sustaita | |||||||||
| Deposited On: | 12 Jun 2013 16:22 | |||||||||
| Last Modified: | 09 Nov 2021 23:40 |
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