Compactification and trees of spheres covers
Dynamical Systems
2017-09-15 v2
Abstract
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.
Cite
@article{arxiv.1408.2117,
title = {Compactification and trees of spheres covers},
author = {Matthieu Arfeux},
journal= {arXiv preprint arXiv:1408.2117},
year = {2017}
}