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A new look at interpretability and saturation
Authors:M. Malliaris  S. Shelah
Affiliation:1. Department of Mathematics, University of Chicago, 5734 S. University Avenue, Chicago, IL 60637, USA;2. Einstein Institute of Mathematics, Edmond J. Safra Campus, Givat Ram, The Hebrew University of Jerusalem, Jerusalem, 91904, Israel;3. Department of Mathematics, Hill Center - Busch Campus, Rutgers, The State University of New Jersey, 110 Frelinghuysen Road, Piscataway, NJ 08854-8019, USA
Abstract:We investigate the interpretability ordering ?? using generalized Ehrenfeucht–Mostowski models. This gives a new approach to proving inequalities and investigating the structure of types.
Keywords:03C45  03C68  03C20  Model theory  Classification theory  Ehrenfeucht–Mostowski models  Keisler's order  Interpretability order
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