Large Cardinals, Determinacy and Other Topics
The Cabal Seminar, Volume IV

The final volume in a series of four books presenting the seminal papers from the Caltech-UCLA 'Cabal Seminar'.

Alexander S. Kechris (Edited by), Benedikt Löwe (Edited by), John R. Steel (Edited by)

9781107182998, Cambridge University Press

Hardback, published 5 November 2020

270 pages, 2 tables
16 x 23.5 x 2.5 cm, 0.63 kg

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final volume in a series of four books collecting the seminal papers from the original volumes together with extensive unpublished material, new papers on related topics and discussion of research developments since the publication of the original volumes.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.

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.

Subject Areas: Set theory [PBCH], Mathematical logic [PBCD], Philosophy: logic [HPL]