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  3. Stable Domination and Independence in Algebraically Closed Valued Fields
  • Cited by 17
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    • Publisher:
      Cambridge University Press
      Publication date:
      December 2009
      December 2007
      ISBN:
      9780511546471
      9780521889810
      9780521335157
      DOI:
      https://doi.org/10.1017/CBO9780511546471
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.44kg, 194 Pages
      Dimensions:
      (229 x 152 mm)
      Weight & Pages:
      0.3kg, 196 Pages
      • Subjects:
      Mathematics, Logic, Categories and Sets, Algebra, Programming Languages and Applied Logic
      Series:
      Lecture Notes in Logic (30)
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    • Selected: Digital
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    Subjects:
    Mathematics, Logic, Categories and Sets, Algebra, Programming Languages and Applied Logic
    Series:
    Lecture Notes in Logic (30)
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    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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