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arXiv · 1811.04007

Homotopy theory with marked additive categories

Ulrich Bunke·Alexander Engel·Daniel Kasprowski·Christoph Winges
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Abstract

We construct combinatorial model category structures on the categories of (marked) categories and (marked) pre-additive categories, and we characterize (marked) additive categories as fibrant objects in a Bousfield localization of pre-additive categories. These model category structures are used to present the corresponding $\infty$-categories obtained by inverting equivalences. We apply these results to explicitly calculate various limits and colimits in these $\infty$-categories.

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Ulrich Bunke, Alexander Engel, Daniel Kasprowski, Christoph Winges. 2018-11-09. Homotopy theory with marked additive categories. https://arxiv.org/abs/1811.04007

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