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arXiv · 2107.11898

A sketch for derivators

Giovanni Marelli
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Abstract

We show first that derivators can be seen as models of a suitable homotopy limit 2-sketch. After discussing homotopy local $\lambda$-presentability of the 2-category of derivators, for some appropriate regular cardinal $\lambda$, as an application we prove that derivators of small presentation are homotopy $\lambda$-presentable objects.

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Giovanni Marelli. 2021-07-25. A sketch for derivators. https://arxiv.org/abs/2107.11898

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