A SEIFERT-VAN KAMPEN THEOREM IN NON-ABELIAN ALGEBRA

被引：1

作者：

Duckerts-Antoine, Mathieu ^{[1
]}

Van Der Linden, Tim ^{[2
]}

机构：

[1] Univ Coimbra, Dept Matemat, Apartado 3008, P-3001501 Coimbra, Portugal

[2] Catholic Univ Louvain, Inst Rech Math & Phys, Chemin Cyclotron 2 Bte L7-01-02, B-1348 Louvain La Neuve, Belgium

来源：

HOMOLOGY HOMOTOPY AND APPLICATIONS | 2018年 / 20卷 / 02期

关键词：

derived functor; fundamental group; homology coproduct theorem; categorical Galois theory; algebraically coherent semi-abelian category; GALOIS THEORY; HOPF FORMULAS; HOMOLOGY; CATEGORIES; FACTORIZATION; EXTENSIONS; FIBRATION; HOMOTOPY;

D O I：

10.4310/HHA.2018.v20.n2.a5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：79 / 103

页数：25

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