Geometry & Topology

On macroscopic dimension of rationally essential manifolds

Alexander Dranishnikov

Abstract

We construct a counterexamples in dimensions $n>3$ to Gromov’s conjecture that the macroscopic dimension of rationally essential $n$–dimensional manifolds equals $n$.

Article information

Source
Geom. Topol., Volume 15, Number 2 (2011), 1107-1124.

Dates
Revised: 11 April 2011
Accepted: 8 May 2011
First available in Project Euclid: 20 December 2017

https://projecteuclid.org/euclid.gt/1513732312

Digital Object Identifier
doi:10.2140/gt.2011.15.1107

Mathematical Reviews number (MathSciNet)
MR2821571

Zentralblatt MATH identifier
1220.53057

Citation

Dranishnikov, Alexander. On macroscopic dimension of rationally essential manifolds. Geom. Topol. 15 (2011), no. 2, 1107--1124. doi:10.2140/gt.2011.15.1107. https://projecteuclid.org/euclid.gt/1513732312

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