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arXiv · 1506.08876

Global Actions

Raimund Preusser
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Abstract

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.

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Raimund Preusser. 2015-06-29. Global Actions. https://arxiv.org/abs/1506.08876

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