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On macroscopic dimension of rationally essential manifolds

Alexander Dranishnikov
Geometry & Topology 15 (2011) 1107–1124
DOI: 10.2140/gt.2011.15.1107
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.

Keywords
macroscopic dimension, essential manifold
Mathematical Subject Classification 2000
Primary: 53C23
Secondary: 20J06, 55N91, 55M10, 57N65
References
Publication
Received: 29 April 2010
Revised: 11 April 2011
Accepted: 8 May 2011
Published: 30 June 2011
Proposed: Steve Ferry
Seconded: David Gabai, Ronald J Stern
Authors
Alexander Dranishnikov
Department of Mathematics
University of Florida
358 Little Hall
Gainesville
Florida 32611-8105
USA