We say that a complete theory T has the Schröder-Bernstein property, or simply, the SB-property, if any two models M and N of T that are elementary bi-embeddable are isomorphic. The purpose of this talk is to study the SB-property for metric theories.  This time we will focus our study on probability algebras and expansions by a generic automorphism. This is a joint work with Alexander Berenstein and Camilo Argoty presented in [1].

Reference

[1] Argoty, C., Berenstein, A. & Cuervo Ovalle, N. The SB-property on metric structures. Arch. Math. Logic (2025). https://doi.org/10.1007/s00153-024-00949-y