# Sh:928

• Shelah, S., & Usvyatsov, A. Unstable Classes of Metric Structures. Preprint. arXiv: 0810.0734
• Abstract:
We prove a strong nonstructure theorem for a class of metric structures with an unstable formula. As a consequence, we show that weak categoricity (that is, categoricity up to isomorphisms and not isometries) implies several weak versions of stability. This is the first step in the direction of the investigation of weak categoricity of metric classes.
Bib entry
@article{Sh:928,
author = {Shelah, Saharon and Usvyatsov, Alexander},
title = {{Unstable Classes of Metric Structures}},
note = {\href{https://arxiv.org/abs/0810.0734}{arXiv: 0810.0734}},
arxiv_number = {0810.0734}
}