Ordinal Definability and Recursion Theory: 3 (Lecture Notes in Logic)
Cambridge University Press, 1/21/2016
EAN 9781107033405, ISBN10: 1107033403
Hardcover, 552 pages, 23.7 x 16 x 4 cm
Language: English
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is the third in a series of four books collecting the seminal papers from the original volumes together with extensive unpublished material, new papers on related topics and discussion of research developments since the publication of the original volumes.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.
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 âˆÂ1/3 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
âˆÂ1/2 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.