model category

for ∞-groupoids

# Contents

## Idea

For $C$ a test category, the canonical structure of a category with weak equivalences on the category of presheaves over $C$ lifts to the structure of a model category. All of these are models for the standard homotopy theory (the homotopy category of ∞Grpd).

## References

The model structure is due to

Further developments are in

• Rick Jardine, Categorical homotopy theory, Homot. Homol. Appl. 8 (1), 2006, pp.71–144, (HHA, pdf)
Revised on October 11, 2012 16:48:29 by Anonymous Coward (93.129.84.175)