on chain complexes/model structure on cosimplicial abelian groups
related by the Dold-Kan correspondence
There is a cofibrantly generated (“folk”) model structure on the category of strict ∞-groupoids, equivalently that of crossed complexes.
It is the transferred model structure along the forgetful functor of the model structure on strict ∞-categories.
The model structure was given in
The relation to the model structure on strict $\omega$-categories was established in
Last revised on January 20, 2015 at 12:57:26. See the history of this page for a list of all contributions to it.