Theorems · Definition · category theory

CategoryTheory.Limits.FormalCoproduct.cech

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

Given U : FormalCoproduct C, this is the simplicial object in FormalCoproduct C which sends ⦋n⦌ to U.power (Fin (n + 1)).

Defined in

Mathlib.CategoryTheory.Limits.FormalCoproducts.Cech

Cited by

13 results in Mathlib

Foundations

Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasFiniteProducts