natural equivalence of and categories
Theorem 0.1.
(with proof by Verdier [1])The category of categorical groups and functorial homomorphisms
between categorical groups, and the category of crossed modules of groups and homomorphisms between them, are naturally equivalent.
References
- 1 Jean-Louis Verdier, Des catgories drives des catgories abliennes, Astrisque, vol. 239, Soci