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Stable Domination and Independence in Algebraically Closed Valued Fields
Paperback
Series: Lecture Notes in Logic, Book 30
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ISBN10: 0521335159
ISBN13: 9780521335157
Publisher: Cambridge
Published: Jun 30 2011
Pages: 196
Weight: 0.70
Height: 0.70 Width: 5.90 Depth: 9.00
Language: English
ISBN13: 9780521335157
Publisher: Cambridge
Published: Jun 30 2011
Pages: 196
Weight: 0.70
Height: 0.70 Width: 5.90 Depth: 9.00
Language: English
This book addresses a gap in the model-theoretic 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 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.
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