[Merged by Bors] - feat(CategoryTheory): characterise locally surjective morphisms in categories of coherent/regular/extensive sheaves #13898
Closed
dagurtomas wants to merge 61 commits intomasterfrom
Closed
Conversation
Co-authored-by: Andrew Yang <36414270+erdOne@users.noreply.github.com>
…phisms of presheaves
…surjective-iff-epi
joelriou
reviewed
Jun 17, 2024
Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
joelriou
reviewed
Jun 18, 2024
joelriou
reviewed
Jun 18, 2024
Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
Contributor
|
bors merge |
mathlib-bors bot
pushed a commit
that referenced
this pull request
Jul 1, 2024
…tegories of coherent/regular/extensive sheaves (#13898) This PR provides simpler characterisations of the property of morphisms of coherent/regular/extensive sheaves of being locally surjective. In particular, it suffices to check the local surjectivity condition on effective epimorphisms for coherent and regular sheaves, and for extensive sheaves the property is equivalent to being surjective on objects. Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com> Co-authored-by: Joël Riou <joel.riou@universite-paris-saclay.fr>
Contributor
|
Build failed (retrying...): |
mathlib-bors bot
pushed a commit
that referenced
this pull request
Jul 1, 2024
…tegories of coherent/regular/extensive sheaves (#13898) This PR provides simpler characterisations of the property of morphisms of coherent/regular/extensive sheaves of being locally surjective. In particular, it suffices to check the local surjectivity condition on effective epimorphisms for coherent and regular sheaves, and for extensive sheaves the property is equivalent to being surjective on objects. Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com> Co-authored-by: Joël Riou <joel.riou@universite-paris-saclay.fr>
Contributor
|
Pull request successfully merged into master. Build succeeded: |
dagurtomas
added a commit
that referenced
this pull request
Jul 2, 2024
…tegories of coherent/regular/extensive sheaves (#13898) This PR provides simpler characterisations of the property of morphisms of coherent/regular/extensive sheaves of being locally surjective. In particular, it suffices to check the local surjectivity condition on effective epimorphisms for coherent and regular sheaves, and for extensive sheaves the property is equivalent to being surjective on objects. Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com> Co-authored-by: Joël Riou <joel.riou@universite-paris-saclay.fr>
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
3 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 provides simpler characterisations of the property of morphisms of coherent/regular/extensive sheaves of being locally surjective.
In particular, it suffices to check the local surjectivity condition on effective epimorphisms for coherent and regular sheaves, and for extensive sheaves the property is equivalent to being surjective on objects.
This is used in #13478 to characterise epimorphisms of condensed sets and modules.