### 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.

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