Theorems · Theorem · algebraic topology

AlgebraicTopology.singularChainComplexFunctor_exactAt_of_totallyDisconnectedSpace

∀ (C : Type u) [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasCoproducts C]
  [inst_2 : CategoryTheory.Preadditive C] (n : ℕ) (R : C) (X : TopCat) [TotallyDisconnectedSpace ↑X],
  n ≠ 0 → HomologicalComplex.ExactAt (((AlgebraicTopology.singularChainComplexFunctor C).obj R).obj X) n

Defined in

Mathlib.AlgebraicTopology.SingularHomology.Basic

Cited by

1 results in Mathlib

Foundations

Depth 136 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasCoproductsCategoryTheory.PreadditiveTotallyDisconnectedSpace