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is the third in a series of four books collecting the seminal papers from the original volumes together with extensive unpublished material, new papers on related topics and discussion of research developments since the publication of the original volumes.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.
Ordinal Definability and Recursion Theory is the third in a series of four books presenting the seminal papers from the Caltech-UCLA 'Cabal Seminar' with extensive unpublished material, new papers on related topics, and discussion of research developments since the publication of the original volumes.
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The third in a series of four books presenting the seminal papers from the Caltech-UCLA 'Cabal Seminar'.
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vii | |
| Original Numbering |
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xi | |
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PART V HOD AND ITS LOCAL VERSIONS |
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Ordinal definability in models of determinacy. Introduction to Part V |
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3 | (46) |
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Partially playful universes |
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49 | (37) |
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Ordinal games and playful models |
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86 | (29) |
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Measurable cardinals in playful models |
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115 | (11) |
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126 | (74) |
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On the theory of Π1/3 sets of reals. II |
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200 | (20) |
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An inner models proof of the Kechris--Martin theorem |
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220 | (23) |
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A theorem of Woodin on mouse sets |
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243 | (14) |
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257 | (92) |
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Recursion theoretic papers. Introduction to Part VI |
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349 | (6) |
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On recursion in E and semi-Spector classes |
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355 | (35) |
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390 | (34) |
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424 | (34) |
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Definable functions on degrees |
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458 | (18) |
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Π1/2 monotone inductive definitions |
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476 | (17) |
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Martin's conjecture, arithmetic equivalence, and countable Borel equivalence relations |
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493 | (28) |
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| Bibliography |
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521 | |
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 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 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.
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