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Trichotomies for ideals of compact sets

Published online by Cambridge University Press:  12 March 2014

É. Matheron ,
S. Solecki  and
M. Zelený
É. Matheron
Affiliation:
Université Bordeaux 1, 351 Cours de la Libération, 33405 Talence Cedex, France. E-mail: Etienne.Matheron@math.u-bordeauxl.fr
S. Solecki
Affiliation:
Department of Mathematics, University of Illinois, 1409 W. Green St., Urbana, IL 61801, USA. E-mail: ssolecki@math.uiuc.edu
M. Zelený
Affiliation:
Charles University, Faculty of Mathematics and Physics, Department of Mathematical Analysis, Sokolovská 83, Prague 8, 186 75, Czech Republic. E-mail: zeleny@karlin.mff.cuni.cz
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Abstract

We prove several trichotomy results for ideals of compact sets. Typically, we show that a “sufficiently rich” universally Baire ideal is either Π30-hard. or Σ30-hard. or else a σ-ideal.

Keywords

ideals of compact setsdescriptive set theory
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 71 , Issue 2 , June 2006 , pp. 586 - 598
Copyright
Copyright © Association for Symbolic Logic 2006

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References

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