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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Parameter-free uniformisation


Author: Sy-David Friedman
Journal: Proc. Amer. Math. Soc. 136 (2008), 3327-3330
MSC (2000): Primary 03E35, 03E45, 03E55
Published electronically: April 29, 2008
MathSciNet review: 2407099
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Abstract: This article was motivated by two questions, one in the theory of infinite-time Turing machines and the other a fine-structural question posed by Wayne Richter. The answers to both turn on a question of parameter-free uniformisation, which I prove for all locally countable, limit initial segments of $ L$.


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Additional Information

Sy-David Friedman
Affiliation: Kurt Gödel Research Center, Universität Wien, Währingerstrasse 25, A-1010 Wien, Austria
Email: sdf@logic.univie.ac.at

DOI: http://dx.doi.org/10.1090/S0002-9939-08-09275-7
PII: S 0002-9939(08)09275-7
Keywords: Descriptive set theory, large cardinals, innermodels.
Received by editor(s): February 28, 2007
Received by editor(s) in revised form: July 17, 2007
Published electronically: April 29, 2008
Additional Notes: The author was supported by Grants P 16790-NO4 and P 19375-N18 of the Austrian Science Fund (FWF)
Communicated by: Julia Knight
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.