The exact consistency strength of the generic absoluteness for the universally Baire sets
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Publication:6188332
DOI10.1017/fms.2023.127arXiv2110.02725OpenAlexW4390978979MaRDI QIDQ6188332
Publication date: 7 February 2024
Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.02725
Cites Work
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- Covering with universally Baire operators
- Realizing an \(\mathrm{AD}^+\) model as a derived model of a premouse
- PFA and guessing models
- Square principles in \(\mathbb{P}_{\max}\) extensions
- Martin's maximum, saturated ideals, and nonregular ultrafilters. I
- Inner models in the region of a Woodin limit of Woodin cardinals
- Generic absoluteness and the continuum
- The consistency strength of projective absoluteness
- \(AD_{\mathbb{R}}\) implies that all sets of reals are \(\Theta\) universally Baire
- Covering with Chang models over derived models
- Category forcings, ππβΊβΊβΊ, and generic absoluteness for the theory of strong forcing axioms
- Descriptive inner model theory
- Non-tame Mice from Tame Failures of the Unique Branch Hypothesis
- Hod mice and the Mouse Set Conjecture
- An Outline of Inner Model Theory
- Structural Consequences of AD
- Stacking mice
- Projective determinacy
- Iteration Trees
- THE ABC'S of Mice
- Absoluteness via resurrection
- UNIVERSALLY BAIRE SETS AND GENERIC ABSOLUTENESS
- Core models with more Woodin cardinals
- Optimal Proofs of Determinacy
- Inner Models and Large Cardinals
- A Comparison Process for Mouse Pairs
- HODas a core model
- IN SEARCH OF ULTIMATE-LTHE 19TH MIDRASHA MATHEMATICAE LECTURES
- PFA implies ADL(β)
- Internal cohen extensions
- The fine structure of the constructible hierarchy
- π²πΎπΊπ πππ from iterability
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