Theorems · Definition · category theory

topCatToSheafCompHausLike

(P : TopCat → Prop) →
  [inst : CompHausLike.HasExplicitFiniteCoproducts P] →
    [inst_1 : CompHausLike.HasExplicitPullbacks P] →
      (hs :
          ∀ ⦃X Y : CompHausLike P⦄ (f : X ⟶ Y),
            CategoryTheory.EffectiveEpi f → Function.Surjective ⇑(CategoryTheory.ConcreteCategory.hom f)) →
        have this := ⋯;
        CategoryTheory.Functor TopCat
          (CategoryTheory.Sheaf (CategoryTheory.coherentTopology (CompHausLike P)) (Type (max u w)))

TopCat.toSheafCompHausLike yields a functor from TopCat.{max u w} to Sheaf (coherentTopology (CompHausLike.{u} P)) (Type (max u w)).

Defined in

Mathlib.Condensed.TopComparison

Cited by

2 results in Mathlib

Foundations

Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CompHausLike.HasExplicitFiniteCoproductsCompHausLike.HasExplicitPullbacks