Commit 2025-08-06 10:52 fc48d275

View on Github →

feat(Algebra/Homology/AlternatingConst): generalize to any appropriate complex shape and pair of maps (#27361) Given an object X : C and endomorphisms φ, ψ : X ⟶ X such that φ ∘ ψ = ψ ∘ φ = 0, this PR defines the periodic chain and cochain complexes ... ⟶ X --φ--> X --ψ--> X --φ--> X --ψ--> 0 and 0 ⟶ X --ψ--> X --φ--> X --ψ--> X --φ--> ... (or more generally for any complex shape c on where c.Rel i j implies i and j have different parity). We calculate the homology of these periodic complexes. This generalizes some of the current content of the file, which works for the chain complex where ψ = 0 and φ = Id.

Estimated changes