Relative algebraic K-theory by elementary means
K-Theory and Homology
2016-02-17 v2
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.
Cite
@article{arxiv.1310.8644,
title = {Relative algebraic K-theory by elementary means},
author = {Daniel R. Grayson},
journal= {arXiv preprint arXiv:1310.8644},
year = {2016}
}