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  3. Stable Domination and Independence in Algebraically Closed Valued Fields
  • Cited by 17
Publisher:
Cambridge University Press
Online publication date:
December 2009
Print publication year:
2007
Online ISBN:
9780511546471
DOI:
https://doi.org/10.1017/CBO9780511546471
Subjects:
Mathematics, Logic, Categories and Sets, Algebra, Programming Languages and Applied Logic
Series:
Lecture Notes in Logic (30)
Information

Book 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.

Reviews

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

Source: EMS Newsletter

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