[Merged by Bors] - feat(Algebra/Homology): API for the computation of the homology of homological complexes#8845
Closed
[Merged by Bors] - feat(Algebra/Homology): API for the computation of the homology of homological complexes#8845
Conversation
…mological complexes
11 tasks
1 task
joelriou
added
awaiting-review
awaiting-CI
github-actions
bot
removed
the
awaiting-CI
ghost
added
ready-to-merge
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`.
Contributor
|
Pull request successfully merged into master. Build succeeded: |
mathlib-bors
bot
changed the title
11 tasks
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
2 participants
Add this suggestion to a batch that can be applied as a single commit.This suggestion is invalid because no changes were made to the code.Suggestions cannot be applied while the pull request is closed.Suggestions cannot be applied while viewing a subset of changes.Only one suggestion per line can be applied in a batch.Add this suggestion to a batch that can be applied as a single commit.Applying suggestions on deleted lines is not supported.You must change the existing code in this line in order to create a valid suggestion.Outdated suggestions cannot be applied.This suggestion has been applied or marked resolved.Suggestions cannot be applied from pending reviews.Suggestions cannot be applied on multi-line comments.Suggestions cannot be applied while the pull request is queued to merge.Suggestion cannot be applied right now. Please check back later.
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).homologyrelates the homology of a complexKin degreejto the homology of a short complexK.X i ⟶ K.X j ⟶ K.X kwheniandkare degrees which appear respectively beforejand afterj.