Complete semi-conjugacies for psuedo-Anosov homeomorphisms
| dc.creator | Franks, John | |
| dc.creator | Handel, Michael | |
| dc.date | 2007-12-18 | |
| dc.date | 2007-12-26 | |
| dc.date.accessioned | 2026-07-07T08:51:00Z | |
| dc.date.available | 2026-07-07T08:51:00Z | |
| dc.description | Suppose $S$ is a surface of genus $\ge 2 $, $f: S \to S$ is a surface homeomorphism isotopic to a pseudo-Anosov map $α$ and suppose $\ti S$ is the universal cover of $S$ and $F$ and $A$ are lifts of $f$ and $α$ respectively. We show there is a semiconjugacy $Θ: \ti S \to \bar Ł^s \times \bar Ł^u$ from $F$ to $\bar A$, where $\bar Ł^s$ ($\bar Ł^u$) is the completion of the $R$-tree of leaves of the stable (resp. unstable) foliation for $A$ and $\bar A$ is the map induced by $A$. We also generalize a result of Markovich and show that for any $g \in Homeo(S)$ which commutes with $f$ and has identity lift $G : \ti S \to \ti S$ and for any $(c,w)$ in the image of $Θ$ each component of $Θ^{-1}(c,w)$ is $G$-invariant. | |
| dc.identifier | https://arxiv.org/abs/0712.3069 | |
| dc.identifier | http://arxiv.org/abs/0712.3069 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/144791 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Geometric Topology | |
| dc.subject | 37E30; 37D20 | |
| dc.title | Complete semi-conjugacies for psuedo-Anosov homeomorphisms | |
| dc.type | text |