Gromov's macroscopic dimension conjecture

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dc.creatorBolotov, Dmitry
dc.date2009-04-30
dc.date.accessioned2026-07-07T13:10:37Z
dc.date.available2026-07-07T13:10:37Z
dc.descriptionIn 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.
dc.descriptionThis is the version published by Algebraic & Geometric Topology on 14 October 2006
dc.identifierhttps://arxiv.org/abs/0904.4886
dc.identifierhttp://arxiv.org/abs/0904.4886
dc.identifierAlgebr. Geom. Topol. 6 (2006) 1669-1676
dc.identifierdoi:10.2140/agt.2006.6.1669
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229056
dc.subjectGeometric Topology
dc.subject57R19, 57R20
dc.titleGromov's macroscopic dimension conjecture
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