Monotone quotients of surface diffeomorphisms
| dc.creator | de Carvalho, André | |
| dc.creator | Paternain, Miguel | |
| dc.date | 2002-11-04 | |
| dc.date.accessioned | 2026-07-07T04:52:37Z | |
| dc.date.available | 2026-07-07T04:52:37Z | |
| dc.description | A homeomorphism of a compact metric space is {\em tight} provided every non-degenerate compact connected (not necessarily invariant) subset carries positive entropy. It is shown that every $C^{1+α}$ diffeomorphism of a closed surface factors to a tight homeomorphism of a generalized cactoid (roughly, a surface with nodes) by a semi-conjugacy whose fibers carry zero entropy. | |
| dc.description | 14 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/math/0211050 | |
| dc.identifier | http://arxiv.org/abs/math/0211050 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65530 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Geometric Topology | |
| dc.title | Monotone quotients of surface diffeomorphisms | |
| dc.type | text |