Wadge Degrees and Projective Ordinals: The Cabal Seminar, Volume II: 37 (Lecture Notes in Logic, Series Number 37)

Cambridge University Press, 12/1/2011
EAN 9780521762038, ISBN10: 0521762030

Hardcover, 548 pages, 23.6 x 15.7 x 3 cm
Language: English
Originally published in English

The proceedings of the Los Angeles Caltech-UCLA 'Cabal Seminar' were originally published in the 1970s and 1980s. Wadge Degrees and Projective Ordinals is the second of a series of four books collecting the seminal papers from the original volumes together with extensive unpublished material, new papers on related topics and discussion of research developments since the publication of the original volumes. Focusing on the subjects of 'Wadge Degrees and Pointclasses' (Part III) and 'Projective Ordinals' (Part IV), each of the two sections is preceded by an introductory survey putting the papers into present context. These four volumes will be a necessary part of the book collection of every set theorist.

Preface
Original numbering
Part III. Wadge Degrees and Pointclasses
Introduction to Part III Alessandro Andretta and Alain Louveau
1. Wadge degrees and descriptive set theory Robert Van Wesep
2. A note on Wadge degrees Alexander S. Kechris
3. Some results in the Wadge hierarchy of Borel sets Alain Louveau
4. The strength of Borel Wadge Determinacy Alain Louveau and Jean Saint-Raymond
5. Closure properties of pointclasses John R. Steel
6. The axiom of determinacy and the prewellordering property Alexander S. Kechris, Robert M. Solovay and John R. Steel
7. Pointclasses and wellordered unions Steve Jackson and Donald A. Martin
8. More closure properties of pointclasses Howard S. Becker
9. More measures from AD John R. Steel
10. The Borel degrees William W. Wadge
Part IV. Projective Ordinals
Introduction to Part IV Steve Jackson
11. Homogeneous trees and projective scales Alexander S. Kechris
12. AD and projective ordinals Alexander S. Kechris
13. A Δ 1/3 coding of the subsets of ωω Robert M. Solovay
14. AD and projective ordinals Steve Jackson
15. Projective sets and cardinal numbers
some questions related to the continuum problem Donald A. Martin
16. Regular cardinals without the weak partition property Steve Jackson
Bibliography.