Theorems · Definition · category theory

TopCat.Presheaf.stalkFunctor

(C : Type u) →
  [inst : CategoryTheory.Category.{v, u} C] →
    [CategoryTheory.Limits.HasColimits C] → {X : TopCat} → ↑X → CategoryTheory.Functor (TopCat.Presheaf C X) C

Stalks are functorial with respect to morphisms of presheaves over a fixed X.

Defined in

Mathlib.Topology.Sheaves.Stalks

Cited by

37 results in Mathlib

Foundations

Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasColimits