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Subsets of ℵ_1 constructible from a real

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. http://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
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1007/BFb0084973DOIUNSPECIFIED
http://link.springer.com/chapter/10.1007/BFb0084973PublisherUNSPECIFIED
Additional Information:© 1988 Springer. Research partially supported by NSF Grants MCS-8117804 and DMS-8416349.
Funders:
Funding AgencyGrant Number
NSFMCS-8117804
NSFDMS-8416349
Other Numbering System:
Other Numbering System NameOther Numbering System ID
MathSciNet ReviewMR0960899
Record Number:CaltechAUTHORS:20130612-090419888
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20130612-090419888
Official Citation:Subsets of ℵ1 constructible from a real Alexander S. Kechris Pages 110-116
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:12 Jun 2013 16:22

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