# nLab trivial model structure

model category

for ∞-groupoids

## Definition

Every category $C$ with limits and colimits becomes a model category by setting

• the weak equivalences are the isomorphisms;

• every morphism is a fibration;

• every morphism is a cofibration.

This model structure regards $C$ as an (∞,1)-category with only trivial k-morphisms for $k \geq 2$.

Revised on January 28, 2012 09:38:31 by Mike Shulman (71.136.231.206)