2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/102300We show that the rational Novikov conjecture for a group $Γ$ of finite homological type follows from the mod 2 acyclicity of the Higson compactifcation of an E$Γ$. We then show that for groups of finite asymptotic dimension the Higson compactification is mod p acyclic for all p, and deduce the integral Novikov conjecture for these groups.Preprint of Max-Planck Institut fur MathematikGeometric Topologytext