2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/229056In this note we construct a closed 4-manifold having torsion-free fundamental group and whose universal covering is of macroscopic dimension 3. This yields a counterexample to Gromov's conjecture about the falling of macroscopic dimension.This is the version published by Algebraic & Geometric Topology on 14 October 2006Geometric Topology57R19, 57R20text