Model theoretic stability and categoricity for complete metric spaces

Saharon Shelah; Alexander Usvyatsov

doi:10.1007/s11856-011-0028-2

Model theoretic stability and categoricity for complete metric spaces

Saharon Shelah
, Alexander Usvyatsov

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	157-198
Number of pages	42
Journal	Israel Journal of Mathematics
Volume	182
Issue number	1
DOIs	https://doi.org/10.1007/s11856-011-0028-2
State	Published - Mar 2011
Externally published	Yes

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Model theoretic stability and categoricity for complete metric spaces

Abstract

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