model structure on strict omega-groupoids
Model category theory
Producing new model structures
Presentation of -categories
for stable/spectrum objects
for stable -categories
for -sheaves / -stacks
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 ω-categories.
The model structure was given in
- Ronnie Brown, Marek Golasinski; A model structure for the homotopy theory of crossed complexes (numdam) Cahiers Topologie Géom. Différentielle 30 (1989) 61-82.
The relation to the model structure on strict -categories was established in
Revised on January 24, 2012 19:44:05
by Ronnie Brown