A Caltech Library Service

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.

Full text is not posted in this repository. Consult Related URLs below.

Use this Persistent URL to link to this item:


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 ReadCube access
Additional Information:© 1988 Springer. Research partially supported by NSF Grants MCS-8117804 and DMS-8416349.
Funding AgencyGrant Number
Series Name:Lecture Notes in Mathematics
Issue or Number:1333
Record Number:CaltechAUTHORS:20130612-090419888
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:38904
Deposited By: Ruth Sustaita
Deposited On:12 Jun 2013 16:22
Last Modified:09 Nov 2021 23:40

Repository Staff Only: item control page