Theorems · Theorem · algebraic topology
SSet.homologyFunctor_map
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasCoproducts C]
[inst_2 : CategoryTheory.Preadditive C] (R : C) [inst_3 : CategoryTheory.CategoryWithHomology C] (n : ℕ) {X Y : SSet}
(f : X ⟶ Y), (SSet.homologyFunctor R n).map f = SSet.homologyMap f R n- Cited by
- 0 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- Oppositestatement · cited by 8,081
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- SimplexCategorystatement · cited by 2,204
- SSetstatement and proof · cited by 1,283
- CategoryTheory.Limits.HasCoproductsstatement and proof · cited by 119
- CategoryTheory.CategoryWithHomologystatement and proof · cited by 116
- SSet.homologystatement · cited by 13
- SSet.homologyMapstatement · cited by 9
- SSet.homologyFunctorstatement and proof · cited by 2
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