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.
Citation
Dmitry Bolotov. "Gromov's macroscopic dimension conjecture." Algebr. Geom. Topol. 6 (4) 1669 - 1676, 2006. https://doi.org/10.2140/agt.2006.6.1669
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