A Comparison Process for Mouse Pairs (Lecture Notes in Logic, Series Number 51)
Steel, John R.
ISBN 10: 110884068X ISBN 13: 9781108840682
Published by Cambridge University Press, 2022
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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 It contains a good deal of background material, some of it unpublished folklore, and includes many references to the literature to guide further reading.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.
About the Author: 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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Title: A Comparison Process for Mouse Pairs (...
Publisher: Cambridge University Press
Publication Date: 2022
Binding: Hardcover
Condition: New
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A Comparison Process for Mouse Pairs (Hardcover)
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ISBN 10: 110884068X
ISBN 13: 9781108840682
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Hardcover. Condition: new. 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 Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9781108840682
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A Comparison Process for Mouse Pairs (Lecture Notes in Logic, Series Number 51)
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A Comparison Process for Mouse Pairs (Lecture Notes in Logic, Series Number 51)
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A Comparison Process for Mouse Pairs (Hardcover)
Published by
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ISBN 10: 110884068X
ISBN 13: 9781108840682
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Hardcover. Condition: new. 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. Seller Inventory # 9781108840682
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A Comparison Process for Mouse Pairs (Hardcover)
Published by
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ISBN 10: 110884068X
ISBN 13: 9781108840682
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Hardcover. Condition: new. 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 multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781108840682
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A Comparison Process for Mouse Pairs (Lecture Notes in Logic, Series Number 51)
Published by
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ISBN 10: 110884068X
ISBN 13: 9781108840682
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Condition: New. Über den AutorJohn 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 Socie. Seller Inventory # 736804004
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A Comparison Process for Mouse Pairs (Lecture Notes in Logic, Series Number 51)
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ISBN 10: 110884068X
ISBN 13: 9781108840682
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