Density of isoperimetric spectra
Group Theory
2016-09-13 v1 Differential Geometry
Geometric Topology
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.
Keywords
Cite
@article{arxiv.0812.1036,
title = {Density of isoperimetric spectra},
author = {Noel Brady and Max Forester},
journal= {arXiv preprint arXiv:0812.1036},
year = {2016}
}
Comments
34 pages, 3 figures