Theorems · Theorem · algebraic topology

AlgebraicTopology.isZero_singularHomologyFunctor_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]
  [inst_4 : CategoryTheory.CategoryWithHomology C],
  n ≠ 0 → CategoryTheory.Limits.IsZero (((AlgebraicTopology.singularHomologyFunctor C n).obj R).obj X)

Defined in

Mathlib.AlgebraicTopology.SingularHomology.Basic

Cited by

0 results in Mathlib

Foundations

Depth 137 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasCoproductsCategoryTheory.PreadditiveTotallyDisconnectedSpaceCategoryTheory.CategoryWithHomology