Large Cardinals, Determinacy and Other Topics is the last in a series of four books presenting the seminal papers from the Caltech-UCLA 'Cabal Seminar' with extensive unpublished material, new papers on related topics, and discussion of research developments since the publication of the original volumes.
Large Cardinals, Determinacy and Other Topics is the last in a series of four books presenting the seminal papers from the Caltech-UCLA 'Cabal Seminar' with extensive unpublished material, new papers on related topics, and discussion of research developments since the publication of the original volumes.
Preface Original numbering Part VII. Extensions of AD, models with choice: 1. A brief history of determinacy Paul B. Larson 2. "AD plus uniformization" is equivalent to "half $AD_\mathbb{R}$" Alexander S. Kechris 3. The independence of DC from AD Robert M. Solovay 4. Games of countable length Donald A. Martin 5. Some consistency results in ZFC using AD W. Hugh Woodin 6. Subsets of $\aleph_1$ constructible from a real Alexander S. Kechris 7. AD and the uniqueness of the supercompact measures on $\wp_{\omega_1}(\lambda)$ W. Hugh Woodin 8. The extender algebra and $\sum_1^2$-absoluteness Ilijas Farah Part VIII. Other topics: 9. On Vaught's conjecture John R. Steel 10. Capacities and analytic sets Claude Dellacherie 11. More saturated ideals Matthew Foreman 12. The fourteen Victoria Delfino problems and their status in the year 2020 Andrés Eduardo Caicedo and Benedikt Löwe Bibliography.
Preface Original numbering Part VII. Extensions of AD, models with choice: 1. A brief history of determinacy Paul B. Larson 2. "AD plus uniformization" is equivalent to "half $AD_\mathbb{R}$" Alexander S. Kechris 3. The independence of DC from AD Robert M. Solovay 4. Games of countable length Donald A. Martin 5. Some consistency results in ZFC using AD W. Hugh Woodin 6. Subsets of $\aleph_1$ constructible from a real Alexander S. Kechris 7. AD and the uniqueness of the supercompact measures on $\wp_{\omega_1}(\lambda)$ W. Hugh Woodin 8. The extender algebra and $\sum_1^2$-absoluteness Ilijas Farah Part VIII. Other topics: 9. On Vaught's conjecture John R. Steel 10. Capacities and analytic sets Claude Dellacherie 11. More saturated ideals Matthew Foreman 12. The fourteen Victoria Delfino problems and their status in the year 2020 Andrés Eduardo Caicedo and Benedikt Löwe Bibliography.
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