[Merged by Bors] - feat(CategoryTheory/Galois): prorepresentability of fiber functors#12839
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[Merged by Bors] - feat(CategoryTheory/Galois): prorepresentability of fiber functors#12839
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Thanks for the fast review @joelriou! I adapted your suggestions. |
joelriou
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Thanks! bors merge |
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…12839) We show that a fiber functor of a Galois category is pro-represented by the system of pointed Galois objects. We also introduce the system of automorphism groups (seen as objects of `C`) of the pointed Galois objects. This is used in a follow-up PR to establish a group isomorphism between the automorphism group of a fiber functor and the limit of the automorphism groups of the Galois objects.
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Pull request successfully merged into master. Build succeeded: |
callesonne
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…12839) We show that a fiber functor of a Galois category is pro-represented by the system of pointed Galois objects. We also introduce the system of automorphism groups (seen as objects of `C`) of the pointed Galois objects. This is used in a follow-up PR to establish a group isomorphism between the automorphism group of a fiber functor and the limit of the automorphism groups of the Galois objects.
grunweg
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…12839) We show that a fiber functor of a Galois category is pro-represented by the system of pointed Galois objects. We also introduce the system of automorphism groups (seen as objects of `C`) of the pointed Galois objects. This is used in a follow-up PR to establish a group isomorphism between the automorphism group of a fiber functor and the limit of the automorphism groups of the Galois objects.
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We show that a fiber functor of a Galois category is pro-represented by the system of pointed Galois objects. We also introduce the system of automorphism groups (seen as objects of
C) of the pointed Galois objects.This is used in a follow-up PR to establish a group isomorphism between the automorphism group of a fiber functor and the limit of the automorphism groups of the Galois objects.