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arxiv: 1012.2824 · v4 · pith:67NBLXO4new · submitted 2010-12-13 · 🧮 math.AT

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

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keywords coveringgroupoidsderivedhurewiczmodulesmorphismsrelativetheorem
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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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