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[Merged by Bors] - feat(Algebra/Homology): API for the computation of the homology of homological complexes #8845

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@joelriou joelriou commented Dec 6, 2023

This PR introduces more homology API in order to ease the computation of group cohomology in low degrees #8802. The main definition HomologicalComplex.homologyIsoSc' : K.homology j ≅ (K.sc' i j k).homology relates the homology of a complex K in degree j to the homology of a short complex K.X i ⟶ K.X j ⟶ K.X k when i and k are degrees which appear respectively before j and after j.


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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
…mological complexes (#8845)

This PR introduces more homology API in order to ease the computation of group cohomology in low degrees #8802. The main definition `HomologicalComplex.homologyIsoSc' : K.homology j ≅ (K.sc' i j k).homology` relates the homology of a complex `K` in degree `j` to the homology of a short complex `K.X i ⟶ K.X j ⟶ K.X k` when `i` and `k` are degrees which appear respectively before `j` and after `j`.
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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(Algebra/Homology): API for the computation of the homology of homological complexes [Merged by Bors] - feat(Algebra/Homology): API for the computation of the homology of homological complexes Dec 27, 2023
@mathlib-bors mathlib-bors bot closed this Dec 27, 2023
@mathlib-bors mathlib-bors bot deleted the homology-computation-helper branch December 27, 2023 06:35
joelriou added a commit that referenced this pull request Dec 27, 2023
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3 participants