Algebraic 𝐾-theory via binary complexes

Grayson, Daniel

doi:10.1090/S0894-0347-2012-00743-7

Algebraic $K$-theory via binary complexes
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by Daniel R. Grayson

J. Amer. Math. Soc. 25 (2012), 1149-1167

DOI: https://doi.org/10.1090/S0894-0347-2012-00743-7

Published electronically: June 14, 2012

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Abstract:

Motivated by work of Nenashev on $K_1$, we introduce acyclic binary multicomplexes and use them to provide generators and relations for the Quillen $K$-groups of an arbitrary exact category.

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