Gromov's macroscopic dimension conjecture
Geometric Topology
2009-05-01 v1
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.
Keywords
Cite
@article{arxiv.0904.4886,
title = {Gromov's macroscopic dimension conjecture},
author = {Dmitry Bolotov},
journal= {arXiv preprint arXiv:0904.4886},
year = {2009}
}
Comments
This is the version published by Algebraic & Geometric Topology on 14 October 2006