2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/103613We 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.This is a revised version of an earlier preprint, which is currently posted on the K-theory serverAlgebraic GeometryK-Theory and Homology14C25 (primary); 14C99, 19E15 (secondary)text