2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/227572This paper extends the relation established for group cohomology by Green, Hunton and Schuster between chromatic phenomena in stable homotopy theory and certain natural subrings of singular cohomology. This exploits the theory due to Henn, Lannes and Schwartz of unstable algebras over the Steenrod algebra localized away from nilpotents.This is the version published by Algebraic & Geometric Topology on 24 August 2006Algebraic Topology55N20, 55S10, 18F20text