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arXiv · 1310.8644

Relative algebraic K-theory by elementary means

Daniel R. Grayson
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Abstract

In a previous paper I gave a presentation for the Quillen higher algebraic K-groups of an exact category in terms of "acyclic binary multicomplexes". In this paper I take that presentation as a definition of the higher K-groups, generalize it to the relative K-groups of an exact functor between exact categories, and produce the corresponding long exact sequence by elementary means, without homotopy theory.

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Daniel R. Grayson. 2016-02-16. Relative algebraic K-theory by elementary means. https://arxiv.org/abs/1310.8644

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