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Stable Domination and Independence in Algebraically Closed Valued Fields (Lecture Notes in Logic, Series Number 30) - Hardcover

 
9780521889810: Stable Domination and Independence in Algebraically Closed Valued Fields (Lecture Notes in Logic, Series Number 30)

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This book addresses a gap in the model-theoretic understanding of valued fields that has, until now, limited the interactions of model theory with geometry. It contains significant developments in both pure and applied model theory. Part one of the book is a study of stably dominated types and it begins with an introduction to the key ideas of stability theory for stably dominated types. Part two continues with an outline of some classical results in the model theory of valued fields and explores the application of stable domination to algebraically closed valued fields. The research presented here is made accessible to the general model theorist by the inclusion of the introductory sections of each part.

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About the Author

Dugald Macpherson is a Professor in the School of Mathematics at the University of Leeds.

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9780521335157: Stable Domination and Independence in Algebraically Closed Valued Fields (Lecture Notes in Logic, Series Number 30)

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Hardcover. Condition: new. Hardcover. This book addresses a gap in the model-theoretic understanding of valued fields that had limited the interactions of model theory with geometry. It contains significant developments in both pure and applied model theory. Part I of the book is a study of stably dominated types. These form a subset of the type space of a theory that behaves in many ways like the space of types in a stable theory. This part begins with an introduction to the key ideas of stability theory for stably dominated types. Part II continues with an outline of some classical results in the model theory of valued fields and explores the application of stable domination to algebraically closed valued fields. The research presented here is made accessible to the general model theorist by the inclusion of the introductory sections of each part. This book addresses a gap in the model-theoretic understanding of valued fields that has, until now, limited the interactions of model theory with geometry. It contains significant developments in both pure and applied model theory. Part one of the book is a study of stably dominated types and it begins with an introduction to the key ideas of stability theory for stably dominated types. Part two continues with an outline of some classical results in the model theory of valued fields and explores the application of stable domination to algebraically closed valued fields. The research presented here is made accessible to the general model theorist by the inclusion of the introductory sections of each part. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521889810

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