Wadge Degrees and Projective Ordinals

The Cabal Seminar, Volume II

Series:

Author:

Alexander S. Kechris, California Institute of Technology, Pasadena
Benedikt Löwe, Universiteit van Amsterdam
John R. Steel, University of California, Berkeley

Published:

January 2012

Availability:

Available

Format:

Hardback

ISBN:

9780521762038

$180.00

USD

Hardback

$180.00 USD

eBook

ਵੇਰਵਾ

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the second of a series of four books collecting the seminal papers from the original volumes together with extensive unpublished material, new papers on related topics and discussion of research developments since the publication of the original volumes.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

Includes updated/revised material from the original volume of Cabal Seminars

Product details

Published: February 2012
Format: Adobe eBook Reader
ISBN: 9781139210652
Length: 0 pages
Weight: 0kg
Availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.

Often bought together

This title is available for institutional purchase via Cambridge Core

Learn more

Related Journals

Also by this Author

Contents

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.

Courses

Resources

Additional Information

About the authors

Contributors

Alessandro Andretta, Alain Louveau, Robert Van Wesep, Alexander S. Kechris, Jean Saint-Raymond, John R. Steel, Robert M. Solovay, Steve Jackson, Donald A. Martin, Howard S. Becker, William W. Wadge

Editors

Alexander S. Kechris , California Institute of Technology, Pasadena
Alexander S. Kechris is Professor of Mathematics at the California Institute of Technology. He is the recipient of numerous honors, including the J. S. Guggenheim Memorial Foundation Fellowship and the Carol Karp Prize of the Association for Symbolic Logic. He is also a member of the Scientific Research Board of the American Institute of Mathematics.
Benedikt Löwe , Universiteit van Amsterdam
Benedikt Löwe is Universitair Docent in Logic in the Institute for Logic, Language and Computation at the Universiteit van Amsterdam and Professor of Mathematics at the Universität Hamburg. He is the vice-president of the Deutsche Vereinigung für Mathematische Logik und für Grundlagenforschung der Exakten Wissenschaften (DVMLG) and a Managing Editor of the journal Mathematical Logic Quarterly.
John R. Steel , University of California, Berkeley
John R. Steel is Professor of Mathematics at the University of California, Berkeley. Prior to that, he was a professor in the mathematics department at the University of California, Los Angeles. He is a recipient of the Carol Karp Prize of the Association for Symbolic Logic and of a Humboldt Prize. Steel is also a former Fellow at the Wissenschaftskolleg zu Berlin and the Sloan Foundation.

Products and services

About us