# nLab tractable model category

model category

## Model structures

for ∞-groupoids

### for $(\infty,1)$-sheaves / $\infty$-stacks

According to definition 1.21 and remark 1.23 in

• Clark Barwick , On left and right model categories and left and right Bousfield localization (pdf)

a model category is called tractable if it is combinatorial and it has sets $I$ and $J$ of generating cofibrations and acyclic cofibrations, respectively, whose sources are all cofibrant.

Revised on October 15, 2012 16:46:18 by Urs Schreiber (82.113.99.246)