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

Deirdre Haskell; Ehud Hrushovski; H. Dugald Macpherson

Hardcover

ISBN 10: 0521889812 ISBN 13: 9780521889810

Publisher: Cambridge University Press, 2008

Synopsis

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.

About this title

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: 2008
• Language: English
• ISBN 10: 0521889812
• ISBN 13: 9780521889810
• Binding: Hardcover
• Edition number: 1
• Number of pages: 194