Density of isoperimetric spectra
arXiv:0812.1036 · doi:10.2140/gt.2010.14.435
Abstract
We show that the set of k-dimensional isoperimetric exponents of finitely presented groups is dense in the interval [1, \infty) for k > 1. Hence there is no higher-dimensional analogue of Gromov's gap (1,2) in the isoperimetric spectrum.
34 pages, 3 figures