Theorems · Definition · category theory

TopCat.Presheaf.SheafConditionEqualizerProducts.piInters

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [CategoryTheory.Limits.HasProducts C] →
      {X : TopCat} → TopCat.Presheaf C X → {ι : Type v'} → (ι → TopologicalSpace.Opens ↑X) → C

The product of the sections of a presheaf over the pairwise intersections of a family of open sets.

Defined in

Mathlib.Topology.Sheaves.SheafCondition.EqualizerProducts

Cited by

9 results in Mathlib

Foundations

Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasProducts