Ordinal Definability and Recursion Theory: Volume 3 :The Cabal Seminar, Volume III ( Lecture Notes in Logic )

Publication subTitle :The Cabal Seminar, Volume III

Publication series :Lecture Notes in Logic

Author: Alexander S. Kechris; Benedikt Löwe; John R. Steel  

Publisher: Cambridge University Press‎

Publication year: 2016

E-ISBN: 9781316587003

P-ISBN(Paperback): 9781107033405

Subject: O1-0 mathematical theory

Keyword: 数学理论

Language: ENG

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Ordinal Definability and Recursion Theory: Volume 3

Description

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is the third in a series of four books collecting the seminal papers from the original volumes together with extensive unpublished material, new papers on related topics and discussion of research developments since the publication of the original volumes.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

Chapter

Partially playful universes

Ordinal games and playful models

Measurable cardinals in playful models

Introduction to Q-theory

On the theory of Π[sup(1)sub(3)] sets of reals, II

An inner models proof of the Kechris–Martin theorem

A theorem of Woodin on mouse sets

HOD as a core model

PART VI: Recursion Theory

Recursion theoretic papers. Introduction to Part VI

On recursion in E and semi-Spector classes

On Spector classes

Trees and degrees

Definable functions on degrees

Π[sup(1)sub(2)] monotone inductive definitions

Martin’s conjecture, arithmetic equivalence, and countable Borelequivalence relations

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