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  3. Simple Theories and Hyperimaginaries
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  • Publisher:
    Cambridge University Press
    Publication date:
    05 March 2012
    30 June 2011
    ISBN:
    9781139003728
    9780521119559
    DOI:
    https://doi.org/10.1017/CBO9781139003728
    Dimensions:
    (228 x 152 mm)
    Weight & Pages:
    0.38kg, 184 Pages
    Dimensions:
    Weight & Pages:
    • Subjects:
    Mathematics, Logic, Categories and Sets, Programming Languages and Applied Logic
    Series:
    Lecture Notes in Logic (39)
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    Subjects:
    Mathematics, Logic, Categories and Sets, Programming Languages and Applied Logic
    Series:
    Lecture Notes in Logic (39)
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    Book description

    This book is an up-to-date introduction to simple theories and hyperimaginaries, with special attention to Lascar strong types and elimination of hyperimaginary problems. Assuming only knowledge of general model theory, the foundations of forking, stability and simplicity are presented in full detail. The treatment of the topics is as general as possible, working with stable formulas and types and assuming stability or simplicity of the theory only when necessary. The author offers an introduction to independence relations as well as a full account of canonical bases of types in stable and simple theories. In the last chapters the notions of internality and analyzability are discussed and used to provide a self-contained proof of elimination of hyperimaginaries in supersimple theories.

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