Algebraic K-theory and abstract homotopy theory
K-Theory and Homology
2011-08-09 v4 Algebraic Topology
Abstract
We decompose the K-theory space of a Waldhausen category in terms of its Dwyer-Kan simplicial localization. This leads to a criterion for functors to induce equivalences of K-theory spectra that generalizes and explains many of the criteria appearing in the literature. We show that under mild hypotheses, a weakly exact functor that induces an equivalence of homotopy categories induces an equivalence of K-theory spectra.
Cite
@article{arxiv.0708.0206,
title = {Algebraic K-theory and abstract homotopy theory},
author = {Andrew J. Blumberg and Michael A. Mandell},
journal= {arXiv preprint arXiv:0708.0206},
year = {2011}
}
Comments
Final version