Model theoretic stability and categoricity for complete metric spaces |
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| Authors: | Saharon Shelah Alexander Usvyatsov |
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| Institution: | 1.Einstein Institute of Mathematics,The Hebrew University of Jerusalem,Jerusalem,Israel;2.Department of Mathematics, Hill Center-Busch Campus Rutgers,The State University of New Jersey,Piscataway,USA;3.Department of Mathematics,UCLA,Los Angeles,USA;4.Centro de Matemática e Aplicac?es Fundamentais,Lisboa,Portugal |
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| Abstract: | We deal with the systematic development of stability in the context of approximate elementary submodels of a monster metric
space, which is not far, but still very different from first order model theory. In particular, we prove the analogue of Morley’s
theorem for classes of complete metric spaces. |
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