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Projective well-orderings and bounded forcing axioms

Published online by Cambridge University Press:  12 March 2014

Andrés Eduardo Caicedo
Andrés Eduardo Caicedo*
Affiliation:
Kurt Gödel Research Center For Mathematical Logic, (Formerly, Institut Für Formale Logik), Universität Wien, Währinger Strasse 25, A-1090 Wien, Austria, E-mail: caicedo@logic.univie.ac.at
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Abstract

In the absence of Woodin cardinals, fine structural inner models for mild large cardinal hypotheses admit forcing extensions where bounded forcing axioms hold and yet the reals are projectively well-ordered.

Keywords

Fine structureinner modelsstrong cardinalsΣ3 0-absolutenessforcingbounded forcing axiomsΨACwell-orderings
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 70 , Issue 2 , June 2005 , pp. 557 - 572
Copyright
Copyright © Association for Symbolic Logic 2005

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