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

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homcomplex-left-shift
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[Merged by Bors] - feat(Algebra/Homology): left shifting cochains#9054
joelriou wants to merge 9 commits intomasterfrom
homcomplex-left-shift

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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
@ghost ghost added the blocked-by-other-PR This PR depends on another PR (this label is automatically managed by a bot) label Dec 14, 2023
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ghost commented Jan 1, 2024

This PR/issue depends on:

@ghost ghost 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
@ghost ghost 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

@ghost ghost 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 <[email protected]>
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mathlib-bors bot commented Jan 5, 2024

Pull request successfully merged into master.

Build succeeded:

@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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