3 problems
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Existence of canonical structures with standard kernel
Let be any of the classes of structures described in the survey with standard kernel, and let a -canonical structure mean a prime structure over a -i…
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Finite-vocabulary obstruction to elimination of imaginaries in Hrushovski constructions
Finite-vocabulary conjecture. Under these assumptions,
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Uniqueness of symmetric functions in Hrushovski constructions
Uniqueness conjecture. In some sense, this construction is the only way to obtain a symmetric function in Hrushovski's examples.