A Comparison Process for Mouse Pairs (Hardcover)

John R. Steel

ISBN 10: 110884068X / ISBN 13: 9781108840682

Editore: Cambridge University Press, Cambridge, 2022

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Hardcover. 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 It contains a good deal of background material, some of it unpublished folklore, and includes many references to the literature to guide further reading.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. 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. It also contains a good deal of background material, some of it unpublished folklore, making it an accessible introduction to the higher reaches of inner model theory. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

Codice articolo 9781108840682

Dati bibliografici

• Titolo: A Comparison Process for Mouse Pairs (Hardcover)
• Editore: Cambridge University Press, Cambridge
• Data di pubblicazione: 2022
• Lingua: Inglese
• ISBN 10: 110884068X
• ISBN 13: 9781108840682
• Rilegatura: Hardcover
• Condizione: new

Descrizione articolo

Riassunto

This book proves important new theorems in the theory of canonical inner models for large cardinal hypotheses in set theory.

Informazioni sull?autore

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.