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 It contains a good deal of background material, some of it unpublished folklore, and includes many references to the literature to guide further reading.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