Theorems · Definition · category theory

TopCat.Presheaf.SheafConditionEqualizerProducts.diagram

{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) → CategoryTheory.Functor CategoryTheory.Limits.WalkingParallelPair C

The equalizer diagram for the sheaf condition.

Defined in

Mathlib.Topology.Sheaves.SheafCondition.EqualizerProducts

Cited by

21 results in Mathlib

Foundations

Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasProducts