A model of the Axiom of Determinacy in which every set of reals is universally Baire

The consistency of the theory $\mathsf {ZF} + \mathsf {AD}_{\mathbb {R}} + {}$ ‘every set of reals is universally Baire’ is proved relative to $\mathsf {ZFC} + {}$ ‘there is a cardinal that is a limit of Woodin cardinals and of strong cardinals’. The proof is based on the derived model c...

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Bibliographic Details
Main Authors: Paul B. Larson, Grigor Sargsyan, Trevor Wilson
Format: Article
Language:English
Published: Cambridge University Press 2025-01-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509425100534/type/journal_article
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