Projective Well-Orderings and Bounded Forcing Axioms

Journal of Symbolic Logic 70 (2):557 - 572 (2005)

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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DOI 10.2178/jsl/1120224728
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References found in this work BETA

Bounded Forcing Axioms as Principles of Generic Absoluteness.Joan Bagaria - 2000 - Archive for Mathematical Logic 39 (6):393-401.
Internal Cohen Extensions.D. A. Martin & R. M. Solovay - 1970 - Annals of Mathematical Logic 2 (2):143-178.
Multiple Forcing.T. Jech - 1989 - Journal of Symbolic Logic 54 (3):1112-1113.
Bounding by Canonical Functions, with Ch.Paul Larson & Saharon Shelah - 2003 - Journal of Mathematical Logic 3 (02):193-215.

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