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Stable Domination and Independence in Algebraically Closed Valued Fields

Deirdre Haskell author Ehud Hrushovski author Dugald Macpherson author

Format:Hardback

Publisher:Cambridge University Press

Published:10th Dec '07

Currently unavailable, currently targeted to be due back around 2nd December 2024, but could change

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Stable Domination and Independence in Algebraically Closed Valued Fields cover

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

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.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.

Review of the hardback: '… comprehensive and stimulating …' EMS Newsletter

ISBN: 9780521889810

Dimensions: 235mm x 157mm x 16mm

Weight: 440g

194 pages