

This book addresses a gap in the modeltheoretic 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 fileds and explores the application of stable domination to algebraically closed valued fileds. The research presented here is made accessible to the general model theorist by the inclusion of the introductory sections of each part. Year: 2007 Table of Contents Introduction Part I. Stable Domination: Chapter 2.  Some background on stability theory Part II. Independence in ACVF: Chapter 7.  Some bacground on algebraically closed valued fields

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