On macroscopic dimension of rationally essential manifolds

Abstract

We construct a counterexamples in dimensions $n>3$ to Gromov's conjecture \cite{Gr1} that the macroscopic dimension of rationally essential $n$-dimensional manifolds equals $n$.

References in corpus (2)

• On the Berstein-Svarc Theorem in dimension 2
• Large and small group homology

Cited by in corpus (4)

• On Gromov's positive scalar curvature conjecture for virtual duality groups
• Uniformly finite homology and amenable groups
• Macroscopic dimension and duality groups
• The ${\ell }^{\infty }$-semi-norm on uniformly finite homology