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feat: ExtrDisc is precoherent#5861

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dagurtomas wants to merge 32 commits intomasterfrom
ExtrDiscCoherent
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feat: ExtrDisc is precoherent#5861
dagurtomas wants to merge 32 commits intomasterfrom
ExtrDiscCoherent

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@dagurtomas dagurtomas commented Jul 13, 2023

Co-authored-by: Jon Eugster @joneugster
Co-authored-by: Boris Bolvig Kjær bbk@math.ku.dk @bbolvig
Co-authored-by: Sina Hazratpour sinahazratpour@gmail.com @sinhp
Co-authored-by: Nima Rasekh rasekh@mpim-bonn.mpg.de @nimarasekh

We give a characterisation of effective epimorphic families in ExtrDisc and deduce that ExtrDisc is a precoherent category.
This work was done during the 2023 Copenhagen masterclass on formalisation of condensed mathematics. Numerous participants contributed.


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@dagurtomas dagurtomas added WIP Work in progress awaiting-CI This PR does not pass CI yet. This label is automatically removed once it does. labels Jul 13, 2023
def FromFiniteCoproductIso : finiteCoproduct X ≅ ∐ X :=
Limits.IsColimit.coconePointUniqueUpToIso
(finiteCoproduct.isColimit' X) (Limits.colimit.isColimit _)

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Is there a way to avoid having both isColimit and isColimit' (cocone and explicitCocone)?

@dagurtomas dagurtomas added awaiting-review and removed WIP Work in progress labels Jul 13, 2023
@github-actions github-actions bot removed the awaiting-CI This PR does not pass CI yet. This label is automatically removed once it does. label Jul 13, 2023
@kim-em kim-em added the blocked-by-other-PR This PR depends on another PR (this label is automatically managed by a bot) label Jul 13, 2023
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kim-em commented Jul 13, 2023

This PR/issue depends on:

@ghost ghost added the merge-conflict The PR has a merge conflict with master, and needs manual merging. (this label is managed by a bot) label Jul 27, 2023
@kim-em kim-em added the t-category-theory Category theory label Aug 6, 2023
@dagurtomas dagurtomas added the t-topology Topological spaces, uniform spaces, metric spaces, filters label Aug 22, 2023
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Opened #6725 instead

@dagurtomas dagurtomas closed this Aug 22, 2023
@YaelDillies YaelDillies deleted the ExtrDiscCoherent branch July 31, 2025 11:35
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blocked-by-other-PR This PR depends on another PR (this label is automatically managed by a bot) merge-conflict The PR has a merge conflict with master, and needs manual merging. (this label is managed by a bot) t-category-theory Category theory t-topology Topological spaces, uniform spaces, metric spaces, filters

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4 participants