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

Haskell, Deirdre; Hrushovski, Ehud; Macpherson, Dugald

Softcover

ISBN 10: 0521335159 ISBN 13: 9780521335157

Publisher: Cambridge University Press, 2011

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 this title

Book Description

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.

About the Author

Deirdre Haskell is a Professor in the Department of Mathematics and Statistics at McMaster University. Ehud Hrushovski is a Professor in the School of Mathematics at the University of Leeds. Dugald Macpherson is a Professor in the Department of Mathematics at the Hebrew University at Jerusalem.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2011
• Language: English
• ISBN 10: 0521335159
• ISBN 13: 9780521335157
• Binding: Paperback
• Edition number: 1
• Number of pages: 196