The Cabal Seminar. Volume 2, Wedge degrees and projective ordinals / edited by Alexander S. Kechris, Benedikt Löwe, John R. Steel.

Format:

Book

Contributor:

Kechris, A. S., 1946- editor.

Löwe, Benedikt, editor.

Steel, J. R. (John R.), 1948- editor.

Series:

Lecture notes in logic.

Lecture notes in logic ; 37

Language:

English

Subjects (All):

Game theory.

Set theory.

Measure theory.

Physical Description:

1 online resource (xxii, 526 pages) : digital, PDF file(s).

Other Title:

Wadge Degrees & Projective Ordinals

Place of Publication:

Cambridge : Cambridge University Press, 2011.

Language Note:

English

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the second of a series of four books collecting the seminal papers from the original volumes together with extensive unpublished material, new papers on related topics and discussion of research developments since the publication of the original volumes.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

Contents:

Cover; Wadge Degrees and Projective Ordinals: The Cabal Seminar, Volume II; LECTURE NOTES IN LOGIC: A Publication for The Association for Symbolic Logic; Title; Copyright; CONTENTS; PREFACE; REFERENCES; ORIGINAL NUMBERING; PART III: WADGE DEGREES AND POINTCLASSES; WADGE DEGREES AND POINTCLASSES: INTRODUCTION TO PART III; REFERENCES; WADGE DEGREES AND DESCRIPTIVE SET THEORY; REFERENCES; A NOTE ON WADGE DEGREES; REFERENCES; SOME RESULTS IN THE WADGE HIERARCHY OF BOREL SETS; REFERENCES; THE STRENGTH OF BOREL WADGE DETERMINACY; REFERENCES; CLOSURE PROPERTIES OF POINTCLASSES; REFERENCE

THE AXIOM OF DETERMINACY AND THE PREWELLORDERING PROPERTYREFERENCES; POINTCLASSES AND WELLORDERED UNIONS; REFERENCES; MORE CLOSURE PROPERTIES OF POINTCLASSES; REFERENCES; MORE MEASURES FROM AD; REFERENCES; EARLY INVESTIGATIONS OF THE DEGREES OF BOREL SETS; REFERENCES; PART IV: PROJECTIVE ORDINALS; PROJECTIVE ORDINALS: INTRODUCTION TO PART IV; REFERENCES; HOMOGENEOUS TREES AND PROJECTIVE SCALES; REFERENCES; AD AND PROJECTIVE ORDINALS; REFERENCES; A Δ1/3 CODING OF THE SUBSETS OFωω; REFERENCES; AD AND THE PROJECTIVE ORDINALS; REFERENCES

PROJECTIVE SETS AND CARDINAL NUMBERS: SOME QUESTIONS RELATED TO THE CONTINUUM PROBLEMREFERENCES; REGULAR CARDINALS WITHOUT THE WEAK PARTITION PROPERTY; REFERENCES; BIBLIOGRAPHY

Notes:

Title from publisher's bibliographic system (viewed on 31 May 2016).

Includes bibliographical references.

ISBN:

1-107-22466-7

1-280-48490-X

9786613579881

1-139-22200-7

1-139-21719-4

1-139-22371-2

1-139-21411-X

1-139-22028-4

1-139-02807-3

OCLC:

775869765