A Comparison Process for Mouse Pairs - Couverture rigide

Steel, John R.

Couverture rigide

ISBN 10 : 110884068X ISBN 13 : 9781108840682

Editeur : Cambridge University Press, 2022

Synopsis

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 It contains a good deal of background material, some of it unpublished folklore, and includes many references to the literature to guide further reading.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

À propos de l?auteur

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.

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 2022
• Langue: anglais
• ISBN 10: 110884068X
• ISBN 13: 9781108840682
• Reliure: Relié
• Nombre de pages: 548
• Coordonnées du fabricant: non disponible
• Personne responsable: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; France