Suppose $\mathcal{C}$ is a Galois category with fiber functor $F : \mathcal{C} \to \mathbf{FinSets}$. Can we characterize the topology on $\text{Aut}(F)$ as the weakest topology that makes the action on all the $F(X)$ for $X \in \mathcal{C}$ continuous?
2026-04-02 13:01:53.1775134913
Topology on the automorphism group of the fiber functor of a Galois category.
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