Wadge Degrees and Projective Ordinals

ISBN-13: 9780521762038 / Angielski / Twarda / 2012 / 548 str.

Alexander S Kechris

Opis

The most seminal collection of papers of descriptive set theory reprinted and put into the modern research context.

Spis treści

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.