A. Abel

most citedTame pseudofinite theories with wild pseudofinite dimensions

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math.LO2022★ 1 cited

Tame pseudofinite theories with wild pseudofinite dimensions

Alexander Van Abel

We construct two pseudofinite theories which are tame from a neostability perspective, yet have pathological fine pseudofinite dimension in all models. These theories serve as coun…

math.LO2018

Variations on the Feferman-Vaught Theorem, with applications to $\prod_{p} F_{p}$

Alice Medvedev, Alexander Van Abel

Using the Feferman-Vaught Theorem, we prove that a definable subset of a product structure must be a Boolean combination of open sets, in the product topology induced by giving eac…

Tame pseudofinite theories with wild pseudofinite dimensions

Variations on the Feferman-Vaught Theorem, with applications to ∏p​Fp​

Variations on the Feferman-Vaught Theorem, with applications to $\prod_{p} F_{p}$