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

Published 13 Dec 2010 in math.AT | (1012.2824v4)

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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