Metric abstract elementary classes as accessible categories

We show that metric abstract elementary classes (mAECs) are, in the sense of [LR] (i.e. arXiv:1404.2528), coherent accessible categories with directed colimits, with concrete \aleph_1-directed colimits and concrete monomorphisms. More broadly, we define a notion of \kappa-concrete AEC---an AEC-like category in which only the \kappa-directed colimits need be concrete---and develop... Show more