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arXiv · 0904.4886

Gromov's macroscopic dimension conjecture

Dmitry Bolotov
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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.

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Dmitry Bolotov. 2009-04-30. Gromov's macroscopic dimension conjecture. https://doi.org/10.2140/agt.2006.6.1669

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