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[Merged by Bors] - feat(Algebra/Homology): left shifting cochains #9054

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@joelriou joelriou commented Dec 14, 2023

In this PR, we study the behaviour of cochains (of the complex of homomorphisms) with respect to shifts on the source. In particular, we obtain an additive equivalence leftShiftAddEquiv K L n a n' h : Cochain K L n ≃+ Cochain K⟦a⟧ L n' when h : n + a = n'.


This is the left counterpart of #8937

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@joelriou joelriou added the t-category-theory Category theory label Dec 14, 2023
@leanprover-community-mathlib4-bot leanprover-community-mathlib4-bot added the blocked-by-other-PR This PR depends on another PR to Mathlib (this label is automatically managed by a bot) label Dec 14, 2023
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@leanprover-community-mathlib4-bot leanprover-community-mathlib4-bot added the merge-conflict The PR has a merge conflict with master, and needs manual merging. (this label is managed by a bot) label Jan 1, 2024
@leanprover-community-mathlib4-bot leanprover-community-mathlib4-bot removed the merge-conflict The PR has a merge conflict with master, and needs manual merging. (this label is managed by a bot) label Jan 2, 2024
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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 Jan 5, 2024
mathlib-bors bot pushed a commit that referenced this pull request Jan 5, 2024
In this PR, we study the behaviour of cochains (of the complex of homomorphisms) with respect to shifts on the source. In particular, we obtain an additive equivalence `leftShiftAddEquiv K L n a n' h : Cochain K L n ≃+ Cochain K⟦a⟧ L n'` when `h : n + a = n'`.



Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
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mathlib-bors bot commented Jan 5, 2024

Pull request successfully merged into master.

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@mathlib-bors mathlib-bors bot changed the title feat(Algebra/Homology): left shifting cochains [Merged by Bors] - feat(Algebra/Homology): left shifting cochains Jan 5, 2024
@mathlib-bors mathlib-bors bot closed this Jan 5, 2024
@mathlib-bors mathlib-bors bot deleted the homcomplex-left-shift branch January 5, 2024 15:13
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3 participants