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[Merged by Bors] - feat(Condensed): Explicit descriptions of condensed sets #6731

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@dagurtomas dagurtomas commented Aug 22, 2023

We prove the characterisation of condensed sets as finite-product preserving presheaves satisfying the equalizer condition on CompHaus/Profinite, and just finite-product preserving presheaves on Stonean.

Co-authored-by: Riccardo Brasca @riccardobrasca riccardo.brasca@gmail.com
Co-authored-by: Filippo A E Nuccio @faenuccio filippo.nuccio@univ-st-etienne.fr


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@dagurtomas dagurtomas added the WIP Work in progress label Aug 22, 2023
@leanprover-community-mathlib4-bot leanprover-community-mathlib4-bot added blocked-by-other-PR This PR depends on another PR to Mathlib and removed blocked-by-other-PR This PR depends on another PR to Mathlib labels Aug 22, 2023
@leanprover-community-mathlib4-bot leanprover-community-mathlib4-bot added the blocked-by-other-PR This PR depends on another PR to Mathlib label Aug 23, 2023
@dagurtomas dagurtomas changed the title feat: Explicit descriptions of condensed sets feat(Condensed): Explicit descriptions of condensed sets Nov 8, 2023
@leanprover-community-mathlib4-bot leanprover-community-mathlib4-bot added merge-conflict The PR has a merge conflict with master, and needs manual merging. and removed blocked-by-other-PR This PR depends on another PR to Mathlib labels Nov 14, 2023
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This PR/issue depends on:

@leanprover-community-mathlib4-bot leanprover-community-mathlib4-bot removed the merge-conflict The PR has a merge conflict with master, and needs manual merging. label Nov 20, 2023
@dagurtomas dagurtomas added t-category-theory Category theory t-topology Topological spaces, uniform spaces, metric spaces, filters t-condensed Condensed mathematics labels Nov 20, 2023

end Stonean

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Should this maybe be CondensedSet? Because the results here are not about arbitrary Condensed FooBar, but specifically about CondensedSet. That would allow more use of dot-notation...
Has this been discussed before and/or is there some policy? I'm not aware of it...

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The target category should actually be more general. Then I can add versions for Type (u+1) in the CondensedSet namespace (maybe as abbrevs?)

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Thanks 🎉

bors merge

@leanprover-community-mathlib4-bot leanprover-community-mathlib4-bot added ready-to-merge This PR has been sent to bors. and removed awaiting-review labels Dec 4, 2023
mathlib-bors bot pushed a commit that referenced this pull request Dec 4, 2023
We prove the characterisation of condensed sets as finite-product preserving presheaves satisfying the equalizer condition on `CompHaus`/`Profinite`, and just finite-product preserving presheaves on `Stonean`.

Co-authored-by: Riccardo Brasca @riccardobrasca [riccardo.brasca@gmail.com](mailto:riccardo.brasca@gmail.com)
Co-authored-by: Filippo A E Nuccio @faenuccio [filippo.nuccio@univ-st-etienne.fr](mailto:filippo.nuccio@univ-st-etienne.fr)
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mathlib-bors bot commented Dec 4, 2023

Build failed (retrying...):

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bors r-

I'm pretty sure this is the one breaking the bors batches; could you merge master and fix the issues?

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mathlib-bors bot commented Dec 4, 2023

Canceled.

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Hopefully works now. There were some name changes since this was last updated.

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It seems it does, thanks! (And congratulation for this result!)

bors merge

mathlib-bors bot pushed a commit that referenced this pull request Dec 5, 2023
We prove the characterisation of condensed sets as finite-product preserving presheaves satisfying the equalizer condition on `CompHaus`/`Profinite`, and just finite-product preserving presheaves on `Stonean`.

Co-authored-by: Riccardo Brasca @riccardobrasca [riccardo.brasca@gmail.com](mailto:riccardo.brasca@gmail.com)
Co-authored-by: Filippo A E Nuccio @faenuccio [filippo.nuccio@univ-st-etienne.fr](mailto:filippo.nuccio@univ-st-etienne.fr)
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mathlib-bors bot commented Dec 5, 2023

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat(Condensed): Explicit descriptions of condensed sets [Merged by Bors] - feat(Condensed): Explicit descriptions of condensed sets Dec 5, 2023
@mathlib-bors mathlib-bors bot closed this Dec 5, 2023
@mathlib-bors mathlib-bors bot deleted the dagur_explicit_condensed branch December 5, 2023 09:06
awueth pushed a commit that referenced this pull request Dec 19, 2023
We prove the characterisation of condensed sets as finite-product preserving presheaves satisfying the equalizer condition on `CompHaus`/`Profinite`, and just finite-product preserving presheaves on `Stonean`.

Co-authored-by: Riccardo Brasca @riccardobrasca [riccardo.brasca@gmail.com](mailto:riccardo.brasca@gmail.com)
Co-authored-by: Filippo A E Nuccio @faenuccio [filippo.nuccio@univ-st-etienne.fr](mailto:filippo.nuccio@univ-st-etienne.fr)
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6 participants