Commit 2024-09-12 17:39 718a757c
View on Github →feat(CategoryTheory/Galois): generalize transitivity to arbitrary universes (#16664)
The construction of the isomorphism of Aut F
with the inverse limit of the automorphism groups of the Galois objects restricts the target category of F
to be FintypeCat.{v}
where v
is the Hom
-universe of C
. Still, the transitivity of the action of Aut F
on the fibers of connected objects can be generalized to arbitrary F : C ⥤ FintypeCat.{w}
by post-composing with an equivalence FintypeCat.{v} ≌ FintypeCat.{w}
.