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

Deirdre Haskell

ISBN 10: 0521889812 / ISBN 13: 9780521889810

Verlag: Cambridge University Press, Cambridge, 2007

Beschreibung

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 Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

Bestandsnummer des Verkäufers 9780521889810

Bibliografische Details

• Titel: Stable Domination and Independence in Algebraically Closed Valued Fields (Hardcover)
• Verlag: Cambridge University Press, Cambridge
• Erscheinungsjahr: 2007
• Sprache: Englisch
• ISBN-10: 0521889812
• ISBN-13: 9780521889810
• Einband: Hardcover
• Auflage: 1. Auflage
• Zustand: new

Über diesen Titel

Inhaltsangabe

This book presents research in model theory and its applications to valued fields.

Über die Autorin bzw. den Autor

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.