Unstable Classes of Metric Structures

by Shelah and Usvyatsov. [ShUs:928]

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.

Back to the list of publications