A comparison process for mouse pairs 1st edition by John Steel 110884068X 978-1108840682

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Product details:

ISBN-10 ‏ : ‎ 110884068X

ISBN-13 ‏ : ‎ 978-1108840682

Author :  John R. Steel 

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 It contains a good deal of background material, some of it unpublished folklore, and includes many references to the literature to guide further reading.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.

 

A comparison process for mouse pairs 1st Table of contents:

Chapter 1 – Introductionpp 1-18

Chapter 2 – Preliminariespp 19-68

Chapter 3 – Background-Induced Iteration Strategiespp 69-100

Chapter 4 – More Mice and Iteration Treespp 101-202

Chapter 5 – Some Properties of Induced Strategiespp 203-220

Chapter 6 – Normalizing Stacks of Iteration Treespp 221-290

Chapter 7 – Strategies That Condense and Normalize Wellpp 291-340

Chapter 8 – Comparing Iteration Strategiespp 341-386

Chapter 9 – Fine Structure for the Least Branch Hierarchypp 387-440

Chapter 10 – Phalanx Iteration Into a Constructionpp 441-500

Chapter 11 – Hod in the Derived Model of a Hod Mousepp 501-526

 

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