Stable Domination and Independence in Algebraically Closed Valued Fields (Hardcover)

Deirdre Haskell

ISBN 10: 0521889812 / ISBN 13: 9780521889810

Published by Cambridge University Press, Cambridge, 2007

About this Item

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 our UK warehouse or from our Australian or US warehouses, depending on stock availability.

Seller Inventory # 9780521889810

Bibliographic Details

• Title: Stable Domination and Independence in Algebraically Closed Valued Fields (Hardcover)
• Publisher: Cambridge University Press, Cambridge
• Publication Date: 2007
• Language: English
• ISBN 10: 0521889812
• ISBN 13: 9780521889810
• Binding: Hardcover
• Edition: 1st Edition
• Condition: new

About this title

Synopsis

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.

About the Author

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