Unstable classes of metric structures
Logic
2019-08-20 v2 Functional Analysis
Abstract
We prove a strong non-structure theorem for a class of metric structures with an unstable pair of formulae. As a consequence, we show that weak categoricity (that is, categoricity up to isomorphisms and not isometries) implies several versions of stability. This is the first step in the direction of the investigation of weak categoricity and weak stability of metric classes.
Cite
@article{arxiv.0810.0734,
title = {Unstable classes of metric structures},
author = {Saharon Shelah and Alexander Usvyatsov},
journal= {arXiv preprint arXiv:0810.0734},
year = {2019}
}