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[Merged by Bors] - feat(CategoryTheory/Shift): sequences of functors from a category with a shift #9001

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@joelriou joelriou commented Dec 12, 2023

Let F : C ⥤ A be a functor from a category C that is equipped with a shift by an additive monoid M. In this PR, we define a typeclass F.ShiftSequence M which includes the data of a sequence of functors F.shift a : C ⥤ A for all a : A. For each a : A, we have an isomorphism F.isoShift a : shiftFunctor C a ⋙ F ≅ F.shift a which satisfies some coherence relations. This will allow a better formulation of the long exact sequence attached to homological functors from a triangulated category to an abelian category.


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Thanks 🎉

bors merge

@leanprover-community-mathlib4-bot leanprover-community-mathlib4-bot added ready-to-merge This PR has been sent to bors. and removed awaiting-review labels Dec 27, 2023
mathlib-bors bot pushed a commit that referenced this pull request Dec 27, 2023
…h a shift (#9001)

Let `F : C ⥤ A` be a functor from a category `C` that is equipped with a shift by an additive monoid `M`. In this PR, we define a typeclass `F.ShiftSequence M` which includes the data of a sequence of functors `F.shift a : C ⥤ A` for all `a : A`. For each `a : A`, we have an isomorphism `F.isoShift a : shiftFunctor C a ⋙ F ≅ F.shift a` which satisfies some coherence relations. This will allow a better formulation of the long exact sequence attached to homological functors from a triangulated category to an abelian category.
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mathlib-bors bot commented Dec 27, 2023

Build failed (retrying...):

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mathlib-bors bot commented Dec 27, 2023

Canceled.

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retrying

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mathlib-bors bot pushed a commit that referenced this pull request Dec 27, 2023
…h a shift (#9001)

Let `F : C ⥤ A` be a functor from a category `C` that is equipped with a shift by an additive monoid `M`. In this PR, we define a typeclass `F.ShiftSequence M` which includes the data of a sequence of functors `F.shift a : C ⥤ A` for all `a : A`. For each `a : A`, we have an isomorphism `F.isoShift a : shiftFunctor C a ⋙ F ≅ F.shift a` which satisfies some coherence relations. This will allow a better formulation of the long exact sequence attached to homological functors from a triangulated category to an abelian category.
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mathlib-bors bot commented Dec 27, 2023

Pull request successfully merged into master.

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@mathlib-bors mathlib-bors bot changed the title feat(CategoryTheory/Shift): sequences of functors from a category with a shift [Merged by Bors] - feat(CategoryTheory/Shift): sequences of functors from a category with a shift Dec 27, 2023
@mathlib-bors mathlib-bors bot closed this Dec 27, 2023
@mathlib-bors mathlib-bors bot deleted the triangulated-shift-sequence branch December 27, 2023 10:11
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