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math.LO2026
The Grothendieck ring of a non-divisible ordered abelian group is trivial
Blaise Boissonneau, Mathias Stout, Floris Vermeulen
We consider the model-theoretic Grothendieck ring of definable sets in ordered abelian groups. It is well-known that and $\mat…
math.AG2026
Approximating parametric suprema for constructible and power-constructible functions
Tijs Buggenhout, Mathias Stout, Lisa Vandebrouck
We prove that one may approximate parametric suprema of constructible and power-constructible functions using functions within the same class. This resolves a conjecture by Adiceam…