%0 Journal Article
%T Global Actions
%A Raimund Preusser
%J Mathematics
%D 2015
%I arXiv
%X A global action is an algebraic analogue of a topological space. It consists of group actions $G_\alpha\curvearrowright X_\alpha$, $(\alpha\in\Phi)$, which fulfill a certain compatibility condition. We investigate the homotopy theory of global actions. The main result establishes a Galois type correspondence between connected coverings of a given connected global action and subgroups of the fundamental group of that action.
%U http://arxiv.org/abs/1506.08876v1