A SEIFERT-VAN KAMPEN THEOREM IN NON-ABELIAN ALGEBRA

作者：Duckerts Antoine Mathieu^*; Van Der Linden Tim

来源：Homology, Homotopy and Applications, 2018, 20(2): 79-103.

DOI：10.4310/HHA.2018.v20.n2.a5

• derived functor
• fundamental group
• homology coproduct theorem
• categorical Galois theory
• algebraically coherent semi-abelian category

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.

• 出版日期2018