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Stable Domination and Independence in Algebraically Closed Valued Fields by Deirdre Haskell, Ehud Hrushovski, Dugald Macpherson
  

Stable Domination and Independence in Algebraically Closed Valued Fields

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Part of the Lecture Notes in Logic Series

Synopsis

Stable Domination and Independence in Algebraically Closed Valued Fields by Deirdre Haskell, Ehud Hrushovski, Dugald Macpherson

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.

Reviews

Review of the hardback: '... comprehensive and stimulating ...
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About the Author

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Book Info

Publication date

19th May 2011

Author

Deirdre Haskell, Ehud Hrushovski, Dugald Macpherson

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Publisher

Cambridge University Press

Format

Paperback
196 pages

Categories

Mathematical logic
Algebra

ISBN

9780521335157

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