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[Merged by Bors] - feat(CategoryTheory): stability properties of morphisms properties in functor categories#23298

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[Merged by Bors] - feat(CategoryTheory): stability properties of morphisms properties in functor categories#23298
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@joelriou joelriou commented Mar 25, 2025

Given W : MorphismProperty C and a category J, we study the stability properties of W.functorCategory J : MorphismProperty (J ⥤ C).

Under suitable assumptions, we also show that if monomorphisms in C are stable under transfinite compositions, then the same holds in the category J ⥤ C.

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@joelriou joelriou added the t-category-theory Category theory label Mar 25, 2025
@joelriou joelriou mentioned this pull request Mar 25, 2025
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github-actions bot commented Mar 25, 2025

PR summary f3a41af669

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference
Mathlib.CategoryTheory.MorphismProperty.FunctorCategory (new file) 802

Declarations diff

+ IsStableUnderColimitsOfShape.functorCategory
+ IsStableUnderLimitsOfShape.functorCategory
+ functorCategory_epimorphisms
+ functorCategory_isomorphisms
+ functorCategory_monomorphisms
+ instance [W.IsStableUnderBaseChange] (J : Type u'') [Category.{v''} J] [HasPullbacks C] :
+ instance [W.IsStableUnderCobaseChange] (J : Type u'') [Category.{v''} J] [HasPushouts C] :
+ instance [W.IsStableUnderRetracts] (J : Type u'') [Category.{v''} J] :
++ instance (K : Type u') [LinearOrder K] [SuccOrder K] [OrderBot K] [WellFoundedLT K]

You can run this locally as follows 
## summary with just the declaration names:
./scripts/declarations_diff.sh <optional_commit>

## more verbose report:
./scripts/declarations_diff.sh long <optional_commit>

The doc-module for script/declarations_diff.sh contains some details about this script.

No changes to technical debt.

You can run this locally as

./scripts/technical-debt-metrics.sh pr_summary
  • The relative value is the weighted sum of the differences with weight given by the inverse of the current value of the statistic.
  • The absolute value is the relative value divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).

@joelriou joelriou changed the title feat(CategoryTheory): stability properties of morphisms properties on functor categories feat(CategoryTheory): stability properties of morphisms properties in functor categories Mar 25, 2025
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kim-em commented Apr 14, 2025

bors merge

@ghost ghost added the ready-to-merge This PR has been sent to bors. label Apr 14, 2025
mathlib-bors bot pushed a commit that referenced this pull request Apr 14, 2025
@joelriou
feat(CategoryTheory): stability properties of morphisms properties in…
c8d31de 
… functor categories (#23298)

Given `W : MorphismProperty C` and a category `J`, we study the stability properties of `W.functorCategory J : MorphismProperty (J ⥤ C)`.

Under suitable assumptions, we also show that if monomorphisms in `C` are stable under transfinite compositions, then the same holds in the category `J ⥤ C`.
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mathlib-bors bot commented Apr 14, 2025

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat(CategoryTheory): stability properties of morphisms properties in functor categories [Merged by Bors] - feat(CategoryTheory): stability properties of morphisms properties in functor categories Apr 14, 2025
@mathlib-bors mathlib-bors bot closed this Apr 14, 2025
@mathlib-bors mathlib-bors bot deleted the jriou-morphism-property-functor-category branch April 14, 2025 07:16
tannerduve pushed a commit that referenced this pull request May 13, 2025
@joelriou @tannerduve
feat(CategoryTheory): stability properties of morphisms properties in…
ca060a0 
… functor categories (#23298)

Given `W : MorphismProperty C` and a category `J`, we study the stability properties of `W.functorCategory J : MorphismProperty (J ⥤ C)`.

Under suitable assumptions, we also show that if monomorphisms in `C` are stable under transfinite compositions, then the same holds in the category `J ⥤ C`.
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@joelriou @kim-em