Pdf Stable Domination And Independence In Algebraically Closed Valued Fields
Maximally complete fields and domination Ch. Invariant types Ch. A maximum modulus principle Ch. Canonical bases and independence given by modules Ch.
Product of invariant types modulo domination-equivalence
Other Henselian fields. Notes Includes bibliographical references p.
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Comments and reviews What are comments? Add a comment. Monash University. The University of Melbourne. University of Tasmania. Quantity Add to basket. This item has been added to your basket View basket Checkout. 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. Added to basket. Alan Turing's Systems of Logic.
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Stable Domination and Independence in Algebraically Closed Valued Fields
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