English

Global Actions

K-Theory and Homology 2015-07-01 v1 Group Theory

Abstract

A global action is an algebraic analogue of a topological space. It consists of group actions GαXαG_\alpha\curvearrowright X_\alpha, (αΦ)(\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.

Keywords

Cite

@article{arxiv.1506.08876,
  title  = {Global Actions},
  author = {Raimund Preusser},
  journal= {arXiv preprint arXiv:1506.08876},
  year   = {2015}
}

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R2 v1 2026-06-22T10:02:38.286Z