2005/10/10 by Marc Levine, Levine, Marc
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #math.AG #math.KT #msc:14C25 #msc:14C99 #msc:19E15
paper · pdf · doi:10.48550/arxiv.math/0510201
This is a revised version of an earlier preprint, which is currently posted on the K-theory server
arxiv created 2005/10/10 · arxiv updated 2009/12/01
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.