Large Cardinals, Determinacy and Other Topics

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Alexander S. Kechris, Benedikt Löwe, John R. Steel

Large Cardinals, Determinacy and Other Topics

Name: Large Cardinals, Determinacy and Other Topics
Author: Alexander S. Kechris

The Cabal Seminar, Volume IV

Gebonden Engels 2020 9781107182998

€ 138,60

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The proceedings of the Los Angeles Caltech-UCLA 'Cabal Seminar' were originally published in the 1970s and 1980s. Large Cardinals, Determinacy and Other Topics is the final volume in a series of four books collecting the seminal papers from the original volumes together with extensive unpublished material, new papers on related topics and discussion of research developments since the publication of the original volumes. This final volume contains Parts VII and VIII of the series. Part VII focuses on 'Extensions of AD, models with choice', while Part VIII ('Other topics') collects material important to the Cabal that does not fit neatly into one of its main themes. These four volumes will be a necessary part of the book collection of every set theorist.

Specificaties

ISBN13:9781107182998

Taal:Engels

Bindwijze:Gebonden

Aantal pagina's:270

Uitgever:Cambridge University Press

Serie:Lecture Notes in Log

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Inhoudsopgave

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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