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Algebraic K-theory of stable ∞-categories via binary complexes

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Winges,  Christoph
Max Planck Institute for Mathematics, Max Planck Society;

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arXiv:1805.06175.pdf
(Preprint), 279KB

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Citation

Kasprowski, D., & Winges, C. (2019). Algebraic K-theory of stable ∞-categories via binary complexes. Journal of Topology, 12(2), 442-462. doi:10.1112/topo.12093.


Cite as: https://hdl.handle.net/21.11116/0000-0004-685B-2
Abstract
We adapt Grayson's model of higher algebraic $K$-theory using binary acyclic complexes to the setting of stable $\infty$-categories. As an application, we prove that the $K$-theory of stable $\infty$-categories preserves infinite
products.