CategoryTheory.ShortComplex

(C : Type u_1) →
  [inst : CategoryTheory.Category.{v_1, u_1} C] → [CategoryTheory.Limits.HasZeroMorphisms C] → Type (max u_1 v_1)

A short complex in a category C with zero morphisms is the datum of two composable morphisms f : X₁ ⟶ X₂ and g : X₂ ⟶ X₃ such that f ≫ g = 0.

Defined in: Mathlib.Algebra.Homology.ShortComplex.Basic
Cited by: 1,850 results in Mathlib
Foundations: Depth 2 from the axioms, rests on 3 definitions · uses no axioms
Assumes: CategoryTheory.Category CategoryTheory.Limits.HasZeroMorphisms

Around this declaration

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

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

Results whose statement or proof uses this declaration.

Showing the 200 most cited of 2,496.