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[Merged by Bors] - feat: duality results for the right homology of short complexes #6227

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@joelriou joelriou commented Jul 29, 2023

This PR shows duality results for left and right homology of short complexes. From the corresponding result for left homology, it is deduced that a morphism of short complexes which is epi on the left object, iso on the middle object and mono on the right object induces an isomorphism in right homology.


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@joelriou joelriou added the t-category-theory Category theory label Jul 29, 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 Jul 29, 2023
@leanprover-community-mathlib4-bot leanprover-community-mathlib4-bot removed the blocked-by-other-PR This PR depends on another PR to Mathlib (this label is automatically managed by a bot) label Jul 30, 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 Jul 30, 2023
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Thanks!
bors d+

Mathlib/Algebra/Homology/ShortComplex/RightHomology.lean Outdated Show resolved Hide resolved
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bors bot commented Aug 6, 2023

✌️ joelriou can now approve this pull request. To approve and merge a pull request, simply reply with bors r+. More detailed instructions are available here.

Co-authored-by: Markus Himmel <markus@himmel-villmar.de>
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joelriou commented Aug 6, 2023

bors merge

@github-actions github-actions bot added the ready-to-merge This PR has been sent to bors. label Aug 6, 2023
bors bot pushed a commit that referenced this pull request Aug 6, 2023
This PR shows duality results for left and right homology of short complexes. From the corresponding result for left homology, it is deduced that a morphism of short complexes which is epi on the left object, iso on the middle object and mono on the right object induces an isomorphism in right homology.



Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
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Pull request successfully merged into master.

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@bors bors bot changed the title feat: duality results for the right homology of short complexes [Merged by Bors] - feat: duality results for the right homology of short complexes Aug 6, 2023
@bors bors bot closed this Aug 6, 2023
@bors bors bot deleted the shortcomplex_righthomology5 branch August 6, 2023 07:06
kim-em pushed a commit that referenced this pull request Aug 14, 2023
This PR shows duality results for left and right homology of short complexes. From the corresponding result for left homology, it is deduced that a morphism of short complexes which is epi on the left object, iso on the middle object and mono on the right object induces an isomorphism in right homology.



Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
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