TY - JOUR
T1 - Model theoretic stability and categoricity for complete metric spaces
AU - Shelah, Saharon
AU - Usvyatsov, Alexander
PY - 2011/3
Y1 - 2011/3
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=79953669211&partnerID=8YFLogxK
U2 - 10.1007/s11856-011-0028-2
DO - 10.1007/s11856-011-0028-2
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AN - SCOPUS:79953669211
SN - 0021-2172
VL - 182
SP - 157
EP - 198
JO - Israel Journal of Mathematics
JF - Israel Journal of Mathematics
IS - 1
ER -