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[Merged by Bors] - feat(CategoryTheory): transport Kan extensions via equivalences #12785
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LGTM, but maybe @dagurtomas can give it a look as well? |
Thanks for the ping. I'll take a look but I don't have time until tomorrow evening |
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I just suggested a minor generalisation, otherwise LGTM.
Thanks! (and thanks Dagur!) |
🚀 Pull request has been placed on the maintainer queue by erdOne. |
This is great, thanks! bors merge |
In this PR, it is shown that left/right Kan extensions of functors `F : C ⥤ H` along a functor `L : C ⥤ D` are compatible with changing the functors `F` and `L` by isomorphic functors, by the precomposition with an equivalence `G : C' ⥤ C`, and postcomposition with an equivalence `D ⥤ D'`.
Pull request successfully merged into master. Build succeeded: |
In this PR, it is shown that left/right Kan extensions of functors `F : C ⥤ H` along a functor `L : C ⥤ D` are compatible with changing the functors `F` and `L` by isomorphic functors, by the precomposition with an equivalence `G : C' ⥤ C`, and postcomposition with an equivalence `D ⥤ D'`.
In this PR, it is shown that left/right Kan extensions of functors `F : C ⥤ H` along a functor `L : C ⥤ D` are compatible with changing the functors `F` and `L` by isomorphic functors, by the precomposition with an equivalence `G : C' ⥤ C`, and postcomposition with an equivalence `D ⥤ D'`.
In this PR, it is shown that left/right Kan extensions of functors `F : C ⥤ H` along a functor `L : C ⥤ D` are compatible with changing the functors `F` and `L` by isomorphic functors, by the precomposition with an equivalence `G : C' ⥤ C`, and postcomposition with an equivalence `D ⥤ D'`.
In this PR, it is shown that left/right Kan extensions of functors
F : C ⥤ H
along a functorL : C ⥤ D
are compatible with changing the functorsF
andL
by isomorphic functors, by the precomposition with an equivalenceG : C' ⥤ C
, and postcomposition with an equivalenceD ⥤ D'
.