mathlib3 documentation

algebraic_topology.dold_kan.equivalence_additive

THIS FILE IS SYNCHRONIZED WITH MATHLIB4. Any changes to this file require a corresponding PR to mathlib4. The Dold-Kan equivalence for additive categories.

This file defines preadditive.dold_kan.equivalence which is the equivalence of categories karoubi (simplicial_object C) ≌ karoubi (chain_complex C ℕ).

(See equivalence.lean for the general strategy of proof of the Dold-Kan equivalence.)