
AbstractIn 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.
strong cardinals, Large cardinals, bounded forcing axioms, inner models, ψ_AC, well-orderings, Woodin cardinals, 03E45, 03E35, forcing, 03E55, Inner models, including constructibility, ordinal definability, and core models, 03E15, Fine structure, Σ¹₃-absoluteness, Consistency and independence results, Descriptive set theory, fine structure
strong cardinals, Large cardinals, bounded forcing axioms, inner models, ψ_AC, well-orderings, Woodin cardinals, 03E45, 03E35, forcing, 03E55, Inner models, including constructibility, ordinal definability, and core models, 03E15, Fine structure, Σ¹₃-absoluteness, Consistency and independence results, Descriptive set theory, fine structure
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