Gromov's macroscopic dimension conjecture
arXiv:0904.4886 · doi:10.2140/agt.2006.6.1669
Abstract
In 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 2006