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arXiv · 1604.03287

Fundamental group functors in descent-exact homological categories

Mathieu Duckerts-Antoine
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Abstract

We study the notion of fundamental group in the framework of descent-exact homological categories. This setting is sufficiently wide to include several categories of "algebraic" nature such as the almost abelian categories, the semi-abelian categories, and the categories of topological semi-abelian algebras. For many adjunctions in this context, the fundamental groups are described by generalised Brown-Ellis-Hopf formulae for the integral homology of groups.

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Mathieu Duckerts-Antoine. 2016-04-12. Fundamental group functors in descent-exact homological categories. https://arxiv.org/abs/1604.03287

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