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Look Inside Ordinal Definability and Recursion Theory
eBook forthcoming

Ordinal Definability and Recursion Theory
The Cabal Seminar, Volume III

Volume 3

$175.00 (C)

Part of Lecture Notes in Logic

Alexander S. Kechris, Benedikt Löwe, John R. Steel, Howard S. Becker, Yiannis N. Moschovakis, Donald A. Martin, Robert M. Solovay, Itay Neeman, W. Hugh Woodin, Leo A. Harrington, Theodore A. Slaman, Phokion G. Kolaitis, Piergiorgio Odifreddi, Andrew Marks
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  • Date Published: January 2016
  • availability: Available
  • format: Hardback
  • isbn: 9781107033405

$ 175.00 (C)
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About the Authors
  • The proceedings of the Los Angeles Caltech-UCLA 'Cabal Seminar' were originally published in the 1970s and 1980s. Ordinal Definability and Recursion Theory is the third in a series of four books collecting the seminal papers from the original volumes together with extensive unpublished material, new papers on related topics and discussion of research developments since the publication of the original volumes.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 'HOD and its Local Versions' (Part V) and 'Recursion Theory' (Part VI), 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 Cabal Seminars volume
    • New, unpublished survey articles put the historical papers into context
    • Now includes uniform and modern notation to make the book more accessible to the reader
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    Product details

    • Date Published: January 2016
    • format: Hardback
    • isbn: 9781107033405
    • length: 552 pages
    • dimensions: 237 x 160 x 40 mm
    • weight: 0.95kg
    • contains: 10 b/w illus.
    • availability: Available
  • Table of Contents

    Preface Alexander S. Kechris, Benedikt Löwe and John R. Steel
    Original numbering
    Part V. HOD and its Local Versions: Ordinal definability in models of determinacy – Introduction to Part V John R. Steel
    Partially playful universes Howard S. Becker
    Ordinal games and playful models Yiannis N. Moschovakis
    Measurable cardinals in playful models Howard S. Becker and Yiannis N. Moschovakis
    Introduction to Q-theory Alexander S. Kechris, Donald A. Martin and Robert M. Solovay
    On the theory of ∏1/3 sets of reals, II Alexander S. Kechris and Donald A. Martin
    An inner models proof of the Kechris–Martin theorem Itay Neeman
    A theorem of Woodin on mouse sets John R. Steel
    HOD as a core model John R. Steel and W. Hugh Woodin
    Part VI. Recursion Theory: Recursion theoretic papers – Introduction to Part VI Leo A. Harrington and Theodore A. Slaman
    On recursion in E and semi-Spector classes Phokion G. Kolaitis
    On Spector classes Alexander S. Kechris
    Trees and degrees Piergiorgio Odifreddi
    Definable functions on degrees Theodore A. Slaman and John R. Steel
    ∏1/2 monotone inductive definitions Donald A. Martin
    Martin's conjecture, arithmetic equivalence, and countable Borel equivalence relations Andrew Marks, Theodore A. Slaman and John R. Steel
    Bibliography.

  • Editors

    Alexander S. Kechris, California Institute of Technology
    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.

    Contributors

    Alexander S. Kechris, Benedikt Löwe, John R. Steel, Howard S. Becker, Yiannis N. Moschovakis, Donald A. Martin, Robert M. Solovay, Itay Neeman, W. Hugh Woodin, Leo A. Harrington, Theodore A. Slaman, Phokion G. Kolaitis, Piergiorgio Odifreddi, Andrew Marks

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