Projective well-orderings and bounded forcing axioms

Andrés Eduardo Caicedo

doi:10.2178/jsl/1120224728

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.

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Andrés Eduardo Caicedo. "Projective well-orderings and bounded forcing axioms." J. Symbolic Logic 70 (2) 557 - 572, June 2005. https://doi.org/10.2178/jsl/1120224728

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Published: June 2005

First available in Project Euclid: 1 July 2005

zbMATH: 1096.03062

MathSciNet: MR2140046

Digital Object Identifier: 10.2178/jsl/1120224728

Subjects:

Primary: 03E15 , 03E35 , 03E45 , 03E55

Keywords: bounded forcing axioms , Fine structure , Forcing , inner models , strong cardinals , well-orderings , Σ¹₃-absoluteness , ψ_AC

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