Compactification and trees of spheres covers
Résumé
We already saw in [A1] that the space of dynamically marked rational maps can be identi ed 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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