Year: 2026
Type: preprint
Abstract: For every integer $ν\geq 2$, we construct a $(ν+1)$-dimensional, locally compact, geodesically complete CAT(0) space of asymptotic rank $ν$ which does not satisfy a linear isoperimetric inequality for integral $ν$-cycles. Its filling function is bounded below by $c v\log v$ for all sufficiently large $v$.
Source: arXiv (Cornell University)
Author: Stadler, Stephan
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7214726676