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arXiv · 1012.2824

Covering morphisms of groupoids, derived modules and a 1-dimensional Relative Hurewicz Theorem

Abstract

We fill a lacuna in the literature by giving a version in dimension 1 of the Relative Hurewicz Theorem, and relate this to abelianisations of groupoids, covering spaces and covering morphisms of groupoids, and Crowell's notion of derived modules.

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Ronald Brown. 2010-12-13. Covering morphisms of groupoids, derived modules and a 1-dimensional Relative Hurewicz Theorem. https://arxiv.org/abs/1012.2824

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