Large Cardinals, Determinacy and Other Topics
Large Cardinals, Determinacy and Other Topics
Benedikt Löwe, Universiteit van Amsterdam
John R. Steel, University of California, Berkeley
£110.00
GBPThe 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final volume in a series of four books collecting the seminal papers from the original volumes together with extensive unpublished material, new papers on related topics and discussion of research developments since the publication of the original volumes.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.
- Includes updated/revised material from the original Cabal Seminars volume
- New, unpublished survey articles put the historical papers into context
- Now includes uniform and modern notation to make the book more accessible to the reader
Product details
November 2020Hardback
9781107182998
270 pages
160 × 235 × 25 mm
0.63kg
2 tables
Available
Table of Contents
- 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.
