John R. Steel – författare

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8 produkter

Del 37 - Lecture Notes in Logic
Wadge Degrees and Projective Ordinals
The Cabal Seminar, Volume II
AvAlexander S. Kechris,Benedikt Löwem. fl.
Inbunden, Engelska, 2011
2 309 kr
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The proceedings of the Los Angeles Caltech-UCLA 'Cabal Seminar' were originally published in the 1970s and 1980s. Wadge Degrees and Projective Ordinals is the second of a series of four books collecting the seminal papers from the original volumes together with extensive unpublished material, new papers on related topics and discussion of research developments since the publication of the original volumes.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 'Wadge Degrees and Pointclasses' (Part III) and 'Projective Ordinals' (Part IV), 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.
Del 28 - Lecture Notes in Logic
Logic Colloquium 2005
AvCostas Dimitracopoulos,Ludomir Newelskim. fl.
Inbunden, Engelska, 2007
1 880 kr
Skickas inom 5-8 vardagar
The Annual European Meeting of the Association for Symbolic Logic, generally known as the Logic Colloquium, is the most prestigious annual meeting in the field. Many of the papers presented there are invited surveys of developments, and the rest of the papers are chosen to complement the invited talks. This 2007 volume includes surveys, tutorials, and selected research papers from the 2005 meeting. Highlights include three papers on different aspects of connections between model theory and algebra; a survey of major advances in combinatorial set theory; a tutorial on proof theory and modal logic; and a description of Bernay's philosophy of mathematics.
Del 31 - Lecture Notes in Logic
Games, Scales and Suslin Cardinals
The Cabal Seminar, Volume I
AvAlexander S. Kechris,Benedikt Löwem. fl.
Inbunden, Engelska, 2008
1 769 kr
Skickas inom 5-8 vardagar
The proceedings of the Los Angeles Caltech-UCLA 'Cabal Seminar' were originally published in the 1970s and 1980s. Games, Scales, and Suslin Cardinals is the first of a series of four books collecting the seminal papers from the original volumes together with extensive unpublished material, new papers on related topics, and discussion of research developments since the publication of the original volumes.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 'Games and Scales' (Part 1) and 'Suslin Cardinals, Partition Properties, and Homogeneity' (Part 2), each of the two sections is preceded by an introductory survey putting the papers into present context. This volume will be an invaluable reference for anyone interested in higher set theory.
Del 43 - Lecture Notes in Logic
Ordinal Definability and Recursion Theory
The Cabal Seminar, Volume III
AvAlexander S. Kechris,Benedikt Löwem. fl.
Inbunden, Engelska, 2016
2 773 kr
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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.
Del 8 - Lecture Notes in Logic
The Core Model Iterability Problem
AvJohn R. Steel
Inbunden, Engelska, 2017
1 944 kr
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Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. Large cardinal hypotheses play a central role in modern set theory. One important way to understand such hypotheses is to construct concrete, minimal universes, or 'core models', satisfying them. Since Gödel's pioneering work on the universe of constructible sets, several larger core models satisfying stronger hypotheses have been constructed, and these have proved quite useful. In this volume, the eighth publication in the Lecture Notes in Logic series, Steel extends this theory so that it can produce core models having Woodin cardinals, a large cardinal hypothesis that is the focus of much current research. The book is intended for advanced graduate students and researchers in set theory.
Del 3 - Lecture Notes in Logic
Fine Structure and Iteration Trees
AvWilliam J. Mitchell,John R. Steel
Inbunden, Engelska, 2017
1 944 kr
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Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. In this volume, the third publication in the Lecture Notes in Logic series, Mitchell and Steel construct an inner model with a Woodin cardinal and develop its fine structure theory. This work builds upon the existing theory of a model of the form L[E], where E is a coherent sequence of extenders, and relies upon the fine structure theory of L[E] models with strong cardinals, and the theory of iteration trees and 'backgrounded' L[E] models with Woodin cardinals. This work is what results when fine structure meets iteration trees.
Del 49 - Lecture Notes in Logic
Large Cardinals, Determinacy and Other Topics
The Cabal Seminar, Volume IV
AvAlexander S. Kechris,Benedikt Löwem. fl.
Inbunden, Engelska, 2020
1 928 kr
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The proceedings of the Los Angeles Caltech-UCLA 'Cabal Seminar' were originally published in the 1970s and 1980s. Large Cardinals, Determinacy and Other Topics is the final volume 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. This final volume contains Parts VII and VIII of the series. Part VII focuses on 'Extensions of AD, models with choice', while Part VIII ('Other topics') collects material important to the Cabal that does not fit neatly into one of its main themes. These four volumes will be a necessary part of the book collection of every set theorist.
Del 51 - Lecture Notes in Logic
A Comparison Process for Mouse Pairs
AvJohn R. Steel
Inbunden, Engelska, 2022
2 279 kr
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This book proves some important new theorems in the theory of canonical inner models for large cardinal hypotheses, a topic of central importance in modern set theory. In particular, the author 'completes' the theory of Fine Structure and Iteration Trees (FSIT) by proving a comparison theorem for mouse pairs parallel to the FSIT comparison theorem for pure extender mice, and then using the underlying comparison process to develop a fine structure theory for strategy mice. Great effort has been taken to make the book accessible to non-experts so that it may also serve as an introduction to the higher reaches of inner model theory. It contains a good deal of background material, some of it unpublished folklore, and includes many references to the literature to guide further reading. An introductory essay serves to place the new results in their broader context. This is a landmark work in inner model theory that should be in every set theorist's library.

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John R. Steel – författare

Wadge Degrees and Projective Ordinals

Logic Colloquium 2005

Games, Scales and Suslin Cardinals

Ordinal Definability and Recursion Theory

The Core Model Iterability Problem

Fine Structure and Iteration Trees

Large Cardinals, Determinacy and Other Topics

A Comparison Process for Mouse Pairs

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