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[Merged by Bors] - [Merged by Bors] - feat: a homotopy of maps of cochain complexes identifies to (-1)-cochains in the complex of homomorphisms#7656

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[Merged by Bors] - [Merged by Bors] - feat: a homotopy of maps of cochain complexes identifies to (-1)-cochains in the complex of homomorphisms#7656
joelriou wants to merge 4 commits intomasterfrom
homcomplex-cocycles

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@joelriou joelriou commented Oct 13, 2023

This PR introduces an equivalence between homotopy of maps of cochains complexes and (-1)-cochains satisfying suitable conditions. It also introduces the action of an additive functor on cochains.


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@joelriou joelriou added the t-category-theory Category theory label Oct 13, 2023
joelriou and others added 3 commits October 13, 2023 10:35
Co-authored-by: github-actions[bot] <41898282+github-actions[bot]@users.noreply.github.com>
Co-authored-by: github-actions[bot] <41898282+github-actions[bot]@users.noreply.github.com>
Co-authored-by: github-actions[bot] <41898282+github-actions[bot]@users.noreply.github.com>
@joelriou joelriou changed the title feat: an homotopy of maps of cochain complexes identifies to (-1)-cochains in the complex of homomorphisms feat: a homotopy of maps of cochain complexes identifies to (-1)-cochains in the complex of homomorphisms Oct 13, 2023
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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 Oct 20, 2023
bors bot pushed a commit that referenced this pull request Oct 20, 2023
…ains in the complex of homomorphisms (#7656)

This PR introduces an equivalence between homotopy of maps of cochains complexes and `(-1)`-cochains satisfying suitable conditions. It also introduces the action of an additive functor on cochains.



Co-authored-by: Joël Riou <[email protected]>
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bors bot commented Oct 20, 2023

Pull request successfully merged into master.

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@bors bors bot changed the title feat: a homotopy of maps of cochain complexes identifies to (-1)-cochains in the complex of homomorphisms [Merged by Bors] - feat: a homotopy of maps of cochain complexes identifies to (-1)-cochains in the complex of homomorphisms Oct 20, 2023
@bors bors bot closed this Oct 20, 2023
@bors bors bot deleted the homcomplex-cocycles branch October 20, 2023 15:15
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bors bot commented Oct 20, 2023

Pull request successfully merged into master.

Build succeeded!

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@bors bors bot changed the title [Merged by Bors] - feat: a homotopy of maps of cochain complexes identifies to (-1)-cochains in the complex of homomorphisms [Merged by Bors] - [Merged by Bors] - feat: a homotopy of maps of cochain complexes identifies to (-1)-cochains in the complex of homomorphisms Oct 20, 2023
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