Recent Issues |
|
Volume 1, 1997 |
|
Volume 2, 1998 |
|
Volume 3, 1999 |
|
Volume 4, 2000 |
|
Volume 5, 2001 |
|
Volume 6, 2002 |
|
Volume 7, 2003 |
|
Volume 8, 2004 |
|
Volume 9, 2005 |
|
Volume 10, 2006 |
|
Volume 11, 2007 |
|
Volume
12(1) 2008 |
|
Volume
12(2) 2008 |
|
Volume
12(3) 2008 |
|
Volume
12(4) 2008 |
|
Volume
12(5) 2008 |
|
Volume
13(1) 2009 |
|
Volume
13(2) 2009 |
|
Volume
13(3) 2009 |
|
Volume
13(4) 2009 |
|
Volume
13(5) 2009 |
|
Volume
14(1) 2010 |
|
G&T Monographs |
|
|
|
Density of isoperimetric spectra
Noel Brady and Max Forester
|
|
Geometry & Topology 14 (2010)
435–472
|
Abstract
|
|
We show that the set of k–dimensional isoperimetric exponents of finitely presented
groups is dense in the interval {t in R|t ≥ 1} for k ≥ 2. Hence there is no
higher-dimensional analogue of Gromov’s gap (1,2) in the isoperimetric
spectrum.
|
|
We dedicate this paper to the memory
of John Stallings (1935–2008).
|
Keywords
Dehn function, isoperimetric inequality,
filling invariant, isoperimetric spectrum, high dimensional
Dehn function, abelian-by-cyclic, admissible map, transverse
map, generalized handle decomposition
|
Mathematical Subject Classification
Primary: 20F65
Secondary: 20E06, 20F69, 53C99, 57M07
|
Publication
Received: 24 January 2009
Accepted: 1 October 2009
Preview posted: 29 October 2009
Published: 2 January 2010
Proposed: Walter Neumann
Seconded: Martin Bridson, Colin Rourke
|
|
