紧化与球覆盖树

摘要：

我们已经在[A1]中看到，动态标记有理映射的空间可以被标识为球树之间的覆盖空间的子空间，在该子空间上存在使其序列紧的收敛概念。下面我们描述这个空间上的一个拓扑，这个拓扑由它的同构群的自然作用所约束。这个拓扑对应于前面的收敛概念，并使这个空间紧凑。

英文摘要：

We already saw in [A1] that the space of dynamically marked rational maps can be identified to a subspace of the space of covers between trees of spheres on which there is a notion of convergence that makes it sequentially compact. In the following we describe a topology on this space quotiented by the natural action of its group of isomorphisms. This topology corresponds to the previous convergence notion and makes this space compact.

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