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

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

2010-12-13

arxiv.org/abs/1012.2824v3

Mathematics

Algebraic Topology

15 pages, xypic v2 typo corrected on p.5 re composition v3 Change of title, and one sentence repetition eliminated

Scientific paper

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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