Covering morphisms of groupoids, derived modules and a 1-dimensional Relative Hurewicz Theorem
Algebraic Topology
2017-03-21 v4
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.
Keywords
Cite
@article{arxiv.1012.2824,
title = {Covering morphisms of groupoids, derived modules and a 1-dimensional Relative Hurewicz Theorem},
author = {Ronald Brown},
journal= {arXiv preprint arXiv:1012.2824},
year = {2017}
}
Comments
15 pages, xypic v2 typo corrected on p.5 re composition v3 Change of title, and one sentence repetition eliminated. v3 Diagram (11) has been corrected with the two rows interchanged