%0 Journal Article
%T Gromov's macroscopic dimension conjecture
%A Dmitry Bolotov
%J Mathematics
%D 2009
%I arXiv
%R 10.2140/agt.2006.6.1669
%X 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.
%U http://arxiv.org/abs/0904.4886v1