论文标题
叶子的拓扑拓扑，以通过非微薄连接双曲线表面进行最小叠层
Topology of leaves for minimal laminations by non-simply connected hyperbolic surfaces
论文作者
论文摘要
我们使拓扑障碍物是在最小的层压表面中成为叶片的叶片，其副表面的通用叶子对第托树是同构的。然后，我们表明所有允许的拓扑类型都可以同时嵌入相同的层压层中。该结果，以及Alvarez-Brum-Martínez-Potrie和Blanc的结果，完成了全景，了解当给出通用叶片的拓扑时，可以在最小的双曲表面层压板中放置哪些拓扑表面。在所有情况下，所有可能的拓扑都可以同时实现。
We give the topological obstructions to be a leaf in a minimal lamination by hyperbolic surfaces whose generic leaf is homeomorphic to a Cantor tree. Then, we show that all allowed topological types can be simultaneously embedded in the same lamination. This result, together with results of Alvarez-Brum-Martínez-Potrie and Blanc, complete the panorama of understanding which topological surfaces can be leaves in minimal hyperbolic surface laminations when the topology of the generic leaf is given. In all cases, all possible topologies can be realized simultaneously.
