[Merged by Bors] - feat: the homology sequence of a short exact sequence of complexes#8468
Closed
[Merged by Bors] - feat: the homology sequence of a short exact sequence of complexes#8468
Conversation
11 tasks
ghost
added
the
blocked-by-other-PR
ghost
added
the
merge-conflict
ghost
removed
the
merge-conflict
ghost
added
merge-conflict
ghost
added
the
blocked-by-other-PR
3 tasks
ghost
removed
the
blocked-by-other-PR
ghost
added
the
merge-conflict
ghost
removed
the
merge-conflict
ghost
added
ready-to-merge
mathlib-bors bot
pushed a commit
that referenced
this pull request
Dec 5, 2023
…8468) If `0 ⟶ X₁ ⟶ X₂ ⟶ X₃ ⟶ 0` is a short exact sequence in a category of complexes `HomologicalComplex C c` in an abelian category, then whenever `i` and `j` are consecutive degrees, there is a long exact sequence : `... ⟶ X₁.homology i ⟶ X₂.homology i ⟶ X₃.homology i ⟶ X₁.homology j ⟶ ...`.
Contributor
|
Pull request successfully merged into master. Build succeeded: |
mathlib-bors
bot
changed the title
awueth
pushed a commit
that referenced
this pull request
Dec 19, 2023
…8468) If `0 ⟶ X₁ ⟶ X₂ ⟶ X₃ ⟶ 0` is a short exact sequence in a category of complexes `HomologicalComplex C c` in an abelian category, then whenever `i` and `j` are consecutive degrees, there is a long exact sequence : `... ⟶ X₁.homology i ⟶ X₂.homology i ⟶ X₃.homology i ⟶ X₁.homology j ⟶ ...`.
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Outdated suggestions cannot be applied.This suggestion has been applied or marked resolved.Suggestions cannot be applied from pending reviews.Suggestions cannot be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.
If
0 ⟶ X₁ ⟶ X₂ ⟶ X₃ ⟶ 0is a short exact sequence in a category of complexesHomologicalComplex C cin an abelian category, then wheneveriandjare consecutive degrees, there is a long exact sequence :... ⟶ X₁.homology i ⟶ X₂.homology i ⟶ X₃.homology i ⟶ X₁.homology j ⟶ ....