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.