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Presheaves and Yoneda Lemma #67

Merged
merged 7 commits into from
Nov 11, 2024
Merged

Presheaves and Yoneda Lemma #67

merged 7 commits into from
Nov 11, 2024

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FeorgeGeorge
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@FeorgeGeorge FeorgeGeorge commented Jun 7, 2024

This pull request contains

  • a proof that the category of presheaves is complete
  • the yoneda lemma
  • the universal property of the presheave category
  • subobject poset for precategories
  • a proof that a category with pullbacks has subobject posets as meet-semilattices
  • a dual statement for categories with pushouts (and join semilattices)

The last point required modifying the Lattice.ard a little bit. Also, file Topos.ard contains an unfinished draft for a proof of some basic facts relating to subobject posets, and a start on the proof that any presheaf category is a topos is in Presheaf.ard (hoping to complete it in the near future).

@FeorgeGeorge FeorgeGeorge changed the title Presheaves and SubobjectPosets Presheaves and Subobject posets Jun 8, 2024
@FeorgeGeorge FeorgeGeorge marked this pull request as draft June 18, 2024 12:54
@FeorgeGeorge FeorgeGeorge changed the title Presheaves and Subobject posets Presheaves and Yoneda Lemma Sep 8, 2024
@FeorgeGeorge FeorgeGeorge marked this pull request as ready for review September 29, 2024 08:29
@valis valis merged commit 5ab25e9 into JetBrains:master Nov 11, 2024
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2 participants