[Merged by Bors] - feat(algebraic_topology): extra degeneracy of augmented simplicial objects #16411
Conversation
This file contains 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
joelriou
added
t-category-theory
github-actions
bot
removed
the
awaiting-CI
joelriou
added
the
awaiting-CI
github-actions
bot
removed
the
awaiting-CI
joelriou
added
the
awaiting-review
jcommelin
reviewed
Sep 30, 2022
|
bors d+ |
|
✌️ joelriou can now approve this pull request. To approve and merge a pull request, simply reply with |
github-actions
bot
added
delegated
Co-authored-by: Johan Commelin <johan@commelin.net>
… into extra_degeneracy_1
joelriou
added
the
awaiting-CI
github-actions
bot
removed
the
awaiting-CI
|
bors merge |
bors bot
pushed a commit
that referenced
this pull request
Oct 2, 2022
…jects (#16411) This PR introduces the notion of extra degeneracy of augmented simplicial objects. In homotopy theory, this is a condition that is used to show that the connected components of simplicial sets are contractible. This notion is formalized for augmented simplicial objects in any category and it is shown that the standard `n`-simplex has an extra degeneracy. Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
|
Pull request successfully merged into master. Build succeeded: |
bors
bot
changed the title
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
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Outdated suggestions cannot be applied.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 the notion of extra degeneracy of augmented simplicial objects. In homotopy theory, this is a condition that is used to show that the connected components of simplicial sets are contractible. This notion is formalized for augmented simplicial objects in any category and it is shown that the standard
n-simplex has an extra degeneracy.(This PR is a little bit long, but I wanted to include at least one example of
extra_degeneracy...)