
Lecture Notes in Logic, 43
Ordinal Definability and Recursion Theory
Alexander S. Kechris, Benedikt Lowe, John R. Steel (Editors)

Year: 2016
Price:$175.00 ISBN13: 9781107033405
552 pages. Hardcover.
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The proceedings of the Los Angeles CaltechUCLA '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is the third in a series of four books collecting the seminal papers from the original volumes together with extensive unpublished material, new papers on related topics and discussion of research developments since the publication of the original volumes.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• Includes updated/revised material from the original Cabal Seminars volume • New, unpublished survey articles put the historical papers into context • Now includes uniform and modern notation to make the book more accessible to the reader
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 model,s Howard S. Becker and Yiannis N. Moschovakis
Introduction to Qtheory, 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 V,I Leo A. Harrington and Theodore A. Slaman
On recursion in E and semiSpector classe,s 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 relation,s Andrew Marks, Theodore A. Slaman and John R. Steel
Bibliography.
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