Theorems · Definition · algebraic geometry

TopCat.Presheaf.EtaleSpace.base

{X : TopCat} →
  {C : Type u} →
    [inst : CategoryTheory.Category.{v, u} C] →
      {CC : C → Type v} →
        {FC : C → C → Type w} →
          [inst_1 : (X Y : C) → FunLike (FC X Y) (CC X) (CC Y)] →
            [inst_2 : CategoryTheory.ConcreteCategory C FC] →
              [inst_3 : CategoryTheory.Limits.HasColimits C] → {F : TopCat.Presheaf C X} → F.EtaleSpace → ↑X

The base point.

Defined in

Mathlib.Topology.Sheaves.EtaleSpace

Cited by

6 results in Mathlib

Foundations

Depth 27 from the axioms · uses propext, Quot.sound

Assumes

CategoryTheory.CategoryFunLikeCategoryTheory.ConcreteCategoryCategoryTheory.Limits.HasColimits