Wadge Degrees and Projective Ordinals: The Cabal Seminar, Volume II
by Edited by Alexander S. Kechris , Benedikt Löwe , John R. SteelFormat: Hardcover
Pub. Date: 2012-01-16
Publisher(s): Cambridge University Press
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Summary
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is the second of a series of four books collecting the seminal papers from the original volumes together with extensive unpublished material, new papers on related topics and discussion of research developments since the publication of the original volumes.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.
Table of Contents
| Preface | |
| Original numbering | |
| Wadge Degrees and Pointclasses: Introduction to Part III | |
| Wadge degrees and descriptive set theory | |
| A note on Wadge degrees | |
| Some results in the Wadge hierarchy of Borel | |
| The strength of Borel Wadge Determinacy | |
| Closure properties of pointclasses | |
| The axiom of determinacy and the prewellordering property | |
| Pointclasses and wellordered unions | |
| More closure properties of pointclasses | |
| More measures from AD | |
| The Borel degrees | |
| Projective Ordinals: Introduction to Part IV | |
| Homogeneous trees and projective scales | |
| AD and projective ordinals | |
| A Îö 1/3 coding of the subsets of ÏëÏë | |
| AD and projective ordinals | |
| Projective sets and cardinal numbers: some questions related to the continuum problem | |
| Regular cardinals without the weak partition property | |
| Bibliography | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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