  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.
