Year: 2006
Type: article
Abstract: DMITRY V BOLOTOVIn 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.
Source: Algebraic & Geometric Topology
Author: Dmitry Bolotov
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2109813708