Laminations hyperfinies et revetements
| dc.creator | Bermúdez, M. | |
| dc.creator | Hector, G. | |
| dc.date | 2005-03-17 | |
| dc.date | 2005-03-27 | |
| dc.date.accessioned | 2026-07-07T05:18:03Z | |
| dc.date.available | 2026-07-07T05:18:03Z | |
| dc.description | We introduce the so-called BT-category of borelian-topological spaces: it will be a natural frame for a measurable classification of usual foliations and laminations. We focus on the two-dimensional case: borelian laminations by surfaces. We prove two main results: (1) Any borelian lamination by planes is the suspension of a $\Z^2$-action on a Borel space iff this lamination is hyperfinite. (2) Any borelian lamination by surfaces is amenable if parabolic, i.e. if it admits a complex structure parabolic on each leaf. The third result is an improvement of (2) in case of laminations endowed with a transverse quasi-invariant measure $μ$. The statement is the following: (3) Any borelian lamination by planes, cylinders and tori is $μ$-amenable if and only if it admits a metric which is flat on $μ$-almost all leafs. | |
| dc.description | 32 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/math/0503350 | |
| dc.identifier | http://arxiv.org/abs/math/0503350 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74527 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37C85;22F10 | |
| dc.title | Laminations hyperfinies et revetements | |
| dc.type | text |