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math.LO2022
Approximate isomorphism of randomization pairs
James Hanson, Tomás Ibarlucía
We study approximate -categoricity of theories of beautiful pairs of randomizations, in the sense of continuous logic. This leads us to disprove a conjecture of Ben Yaaco…
math.LO2022
Bounded ultraimaginary independence and its total Morley sequences
James Hanson
We investigate the following model-theoretic independence relation: $\def\indbu{{\rlap{\hspace11.9mu\vert}\lower7.5mu\smile}^{\!\mathrm{bu}}} b \indbu_A\hspace3mu c$ if and only if…