Remarks on combinatorial and accessible model categories

Jiri Rosický

Using full images of accessible functors, we prove some results about combinatorial and accessible model categories. In particular, we give an example of a weak factorization system on a locally presentable category which is not accessible.

Keywords: accessible weak factorization system, combinatorial model category, accessible model category

2020 MSC: 18C35, 18N40, 55U35

Theory and Applications of Categories, Vol. 37, 2021, No. 9, pp 266-275.

Revised 2021-05-18. Original version at

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