Chow's moving lemma and the homotopy coniveau tower
Algebraic Geometry
2007-05-23 v1 K-Theory and Homology
Abstract
We consider the "homotopy coniveau tower" for an arbitrary cohomology theory on smooth varieties over a field or a Dedekind domain. This tower is a generalization of the construction used by Bloch-Lichtenbaum and Friedlander-Suslin in their studies of the spectral sequence from motivic cohomology to K-theory. Our main result is that an application of the classical Chow's moving lemma and some categorical constructions make the homotopy coniveau tower strictly functorial when the base is a field, and functorial in the homotopy category when the base is a Dedekind domain.
Keywords
Cite
@article{arxiv.math/0510201,
title = {Chow's moving lemma and the homotopy coniveau tower},
author = {Marc Levine},
journal= {arXiv preprint arXiv:math/0510201},
year = {2007}
}
Comments
This is a revised version of an earlier preprint, which is currently posted on the K-theory server