Gromov's macroscopic dimension conjecture

Details Gromov's macroscopic dimension conjecture Gromov's macroscopic dimension conjecture

2009-04-30

arxiv.org/abs/0904.4886v1

Algebr. Geom. Topol. 6 (2006) 1669-1676

Mathematics

Geometric Topology

This is the version published by Algebraic & Geometric Topology on 14 October 2006

Scientific paper

10.2140/agt.2006.6.1669

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.

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