Sh:837

• Shelah, S., & Usvyatsov, A. (2011). Model theoretic stability and categoricity for complete metric spaces. Israel J. Math., 182, 157–198.
• Abstract:
We deal with the systematic development of stability for the context of approximate elementary submodels of a monster metric space, which is not far, but still very distinct from the first order case. In particular we prove the analogue of Morley’s theorem for the classes of complete metric spaces
• published version (42p)
Bib entry
@article{Sh:837,
author = {Shelah, Saharon and Usvyatsov, Alexander},
title = {{Model theoretic stability and categoricity for complete metric spaces}},
journal = {Israel J. Math.},
fjournal = {Israel Journal of Mathematics},
volume = {182},
year = {2011},
pages = {157--198},
issn = {0021-2172},
doi = {10.1007/s11856-011-0028-2},
mrclass = {03C45},
mrnumber = {2783970},
mrreviewer = {Jos\'e Iovino},
doi = {10.1007/s11856-011-0028-2},
note = {\href{https://arxiv.org/abs/math/0612350}{arXiv: math/0612350}},
arxiv_number = {math/0612350}
}