Bunke, Ulrich and Engel, Alexander and Kasprowski, Daniel and Winges, Christoph (2020) HOMOTOPY THEORY WITH MARKED ADDITIVE CATEGORIES. THEORY AND APPLICATIONS OF CATEGORIES, 35. pp. 371-416. ISSN 1201-561X,
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We construct combinatorial model category structures on the categories of (marked) categories and (marked) preadditive categories, and we characterize (marked) additive categories as fibrant objects in a Bousfield localization of preadditive categories. These model category structures are used to present the corresponding infinity-categories obtained by inverting equivalences. We apply these results to explicitly calculate limits and colimits in these infinity-categories. The motivating application is a systematic construction of the equivariant coarse algebraic K-homology with coefficients in an additive category from its non-equivariant version.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; Additive categories; marked categories; model categories |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics Mathematics > Prof. Dr. Ulrich Bunke |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 06 Apr 2021 07:27 |
| Last Modified: | 06 Apr 2021 07:27 |
| URI: | https://pred.uni-regensburg.de/id/eprint/45384 |
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