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

 

Universal co-analytic sets


Author: Greg Hjorth
Journal: Proc. Amer. Math. Soc. 124 (1996), 3867-3873
MSC (1991): Primary 04A15
MathSciNet review: 1343698
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Abstract: There is a universal $\Pi _{1}^{1}$ equivalence relation. The existence of a $\Pi _{1}^{1}$ set universal for $\Pi \hskip -3.5pt\lower 7.5pt\hbox {$\widetilde {}$}\hskip 2.3pt _{1}^{1}$ non-Borel is independent of the usual axioms of mathematics.


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Additional Information

Greg Hjorth
Affiliation: Department of Mathematics, California Institute of Technology, Pasadena, California 91125
Address at time of publication: Department of Mathematics, University of California, Los Angeles, California 90024-1555
Email: greg@cco.caltech.edu, greg@math.ucla.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-96-03494-6
PII: S 0002-9939(96)03494-6
Received by editor(s): May 2, 1994
Received by editor(s) in revised form: June 12, 1995
Communicated by: Andreas R. Blass
Article copyright: © Copyright 1996 American Mathematical Society