Generalized Dehn Functions I
| dc.creator | Groft, Chad | |
| dc.date | 2009-01-15 | |
| dc.date.accessioned | 2026-07-07T12:30:34Z | |
| dc.date.available | 2026-07-07T12:30:34Z | |
| dc.description | Let X be a finite CW complex or compact Lipschitz neighborhood retract with universal cover Z; let M be a compact orientable manifold of dimension at least 2 and nonempty boundary. We establish the existence of an isoperimetric profile for functions from M to Z, in the metric and cellular senses, and show that they are equivalent up to scaling factors when X is a triangulated CLNR (for example a triangulated Riemannian manifold). This seems to be most interesting when X is highly connected, but this is not required. We also show that two finite complexes X and Y have the same profiles up to scaling given the existence of a sufficiently connected map between them. | |
| dc.description | 19 pages | |
| dc.identifier | https://arxiv.org/abs/0901.2303 | |
| dc.identifier | http://arxiv.org/abs/0901.2303 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/216166 | |
| dc.subject | Group Theory | |
| dc.subject | Geometric Topology | |
| dc.subject | 53C23 (primary), 20F65 (secondary) | |
| dc.title | Generalized Dehn Functions I | |
| dc.type | text |