Stable Domination and Independence in Algebraically Closed Valued Fields

Name: Stable Domination and Independence in Algebraically Closed Valued Fields
SKU: 2429670
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Lecture Notes in Logic

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Description

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.

Author Biography:

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.

Release date Australia

December 10th, 2007

Author

Audience

Professional & Vocational

Pages

194

Series

Lecture Notes in Logic

Dimensions

157x235x16

ISBN-13

9780521889810

Product ID

2429670

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