Geodesic
A Seifert–van Kampen theorem in non-abelian algebra
Homology, homotopy, and applications, Tome 20 (2018) no. 2, pp. 79-103.

Voir la notice de l'article provenant de la source International Press of Boston

We prove a variation on the Seifert–van Kampen theorem in a setting of non-abelian categorical algebra, providing sufficient conditions on a functor $F$, from an algebraically coherent semi-abelian category with enough projectives to an almost abelian (= Raikov semiabelian) category, for the preservation of pushouts of split monomorphisms by the left derived functor of $F$.
DOI : 10.4310/HHA.2018.v20.n2.a5
Classification : 18A40, 18G10, 18G50, 20J99, 55N99
Keywords: derived functor, fundamental group, homology coproduct theorem, categorical Galois theory, algebraically coherent semi-abelian category 
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     title = {A {Seifert{\textendash}van} {Kampen} theorem in non-abelian algebra},
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Mathieu Duckerts-Antoine; Tim Van Der Linden. A Seifert–van Kampen theorem in non-abelian algebra. Homology, homotopy, and applications, Tome 20 (2018) no. 2, pp. 79-103. doi : 10.4310/HHA.2018.v20.n2.a5. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2018.v20.n2.a5/

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