Fundamental group functors in descent-exact homological categories
Copyright policy )Fundamental group functors in descent-exact homological categories
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.
33 pages
- University of Coimbra Portugal
Galois theory and commutative ring extensions, Galois group, higher fundamental groups, Mathematics - Category Theory, Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.), Kan extension, Hopf formula, Nonabelian homological algebra (category-theoretic aspects), Homological category, FOS: Mathematics, Category Theory (math.CT), 18G50, 18A40, 13B05
Galois theory and commutative ring extensions, Galois group, higher fundamental groups, Mathematics - Category Theory, Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.), Kan extension, Hopf formula, Nonabelian homological algebra (category-theoretic aspects), Homological category, FOS: Mathematics, Category Theory (math.CT), 18G50, 18A40, 13B05
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