A Comparison Process for Mouse Pairs

John R. Steel (University of California, Berkeley)

$245.95

Hardback

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English

Cambridge University Press
24 November 2022

Mathematical logic; Set theory

Series: Lecture Notes in Logic

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 It contains a good deal of background material, some of it unpublished folklore, and includes many references to the literature to guide further reading.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

By: John R. Steel (University of California Berkeley)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 235mm, Width: 157mm, Spine: 37mm
Weight: 970g
ISBN: 9781108840682
ISBN 10: 110884068X
Series: Lecture Notes in Logic
Pages: 548
Publication Date: 24 November 2022
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

John R. Steel is Professor of Mathematics at the University of California, Berkeley. He is a recipient of the Carol Karp Prize of the Association for Symbolic Logic, the Hausdorff Medal of the European Set Theory Society, and the Humboldt Prize.

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A Comparison Process for Mouse Pairs

John R. Steel (University of California, Berkeley)

$245.95

Hardback

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