A sketch for derivators
Algebraic Topology
2021-07-27 v1 Category Theory
Abstract
We show first that derivators can be seen as models of a suitable homotopy limit 2-sketch. After discussing homotopy local -presentability of the 2-category of derivators, for some appropriate regular cardinal , as an application we prove that derivators of small presentation are homotopy -presentable objects.
Cite
@article{arxiv.2107.11898,
title = {A sketch for derivators},
author = {Giovanni Marelli},
journal= {arXiv preprint arXiv:2107.11898},
year = {2021}
}
Comments
Paper to be published in Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques