Journal of Symbolic Logic

Projective well-orderings and bounded forcing axioms

Andrés Eduardo Caicedo

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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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J. Symbolic Logic, Volume 70, Issue 2 (2005), 557-572.

First available in Project Euclid: 1 July 2005

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Zentralblatt MATH identifier

Primary: 03E15: Descriptive set theory [See also 28A05, 54H05] 03E35: Consistency and independence results 03E45: Inner models, including constructibility, ordinal definability, and core models 03E55: Large cardinals

Fine structure inner models strong cardinals Σ¹₃-absoluteness forcing bounded forcing axioms ψ_AC well-orderings


Caicedo, Andrés Eduardo. Projective well-orderings and bounded forcing axioms. J. Symbolic Logic 70 (2005), no. 2, 557--572. doi:10.2178/jsl/1120224728.

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