%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