Mathlib Map

Theorems · Definition · category theory

CategoryTheory.Limits.FormalCoproduct.cechFunctor

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [CategoryTheory.Limits.HasFiniteProducts C] →
      CategoryTheory.Functor (CategoryTheory.Limits.FormalCoproduct C)
        (CategoryTheory.SimplicialObject (CategoryTheory.Limits.FormalCoproduct C))

The functor FormalCoproduct C ⥤ SimplicialObject (FormalCoproduct C) which sends a formal coproduct to its Cech object.

Defined in
Mathlib.CategoryTheory.Limits.FormalCoproducts.Cech
Cited by
2 results in Mathlib
Foundations
Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.Limits.HasFiniteProducts
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.Limits.FormalCoproduct.cechFunctor_map_app · cited by 0FormalCoproduct.cechFunct…CategoryTheory.Limits.FormalCoproduct.cechFunctor_obj · cited by 0FormalCoproduct.cechFunct…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorOpposite · cited by 8081OppositeOpposite.unop · cited by 2231Opposite.unopSimplexCategory · cited by 2204SimplexCategoryCategoryTheory.SimplicialObject · cited by 548CategoryTheory.Simplicial…CategoryTheory.ToType · cited by 219CategoryTheory.ToTypeCategoryTheory.Limits.HasFiniteProducts · cited by 142Limits.HasFiniteProductsCategoryTheory.Limits.FormalCoproduct · cited by 122Limits.FormalCoproductCategoryTheory.Limits.FormalCoproduct.cech · cited by 13FormalCoproduct.cechCategoryTheory.Limits.FormalCoproduct.powerMap · cited by 9FormalCoproduct.powerMapFormalCoproduct.cechFunctorCITED BYCITES

Cites12

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.