Theorems · Definition · category theory

skyscraperPresheafCoconeOfSpecializes

{X : TopCat} →
  (p₀ : ↑X) →
    [inst : (U : TopologicalSpace.Opens ↑X) → Decidable (p₀ ∈ U)] →
      {C : Type v} →
        [inst_1 : CategoryTheory.Category.{u, v} C] →
          (A : C) →
            [inst_2 : CategoryTheory.Limits.HasTerminal C] →
              {y : ↑X} →
                p₀ ⤳ y →
                  CategoryTheory.Limits.Cocone
                    ((TopologicalSpace.OpenNhds.inclusion y).op.comp (skyscraperPresheaf p₀ A))

The cocone at A for the stalk functor of skyscraperPresheaf p₀ A when y ∈ closure {p₀}

Defined in

Mathlib.Topology.Sheaves.Skyscraper

Cited by

3 results in Mathlib

Foundations

Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DecidableCategoryTheory.CategoryCategoryTheory.Limits.HasTerminal