The snail lemma for internal groupoids

被引：1

作者：

Mantovani, Sandra ^{[1
]}

Metere, Giuseppe ^{[2
]}

Vitale, Enrico M. ^{[3
]}

机构：

[1] Univ Milan, Dipartimento Matemat, Via C Saldini 50, I-20133 Milan, Italy

[2] Univ Palermo, Dipartimento Matemat & Informat, Via Archirafi 34, I-90123 Palermo, Italy

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

来源：

JOURNAL OF ALGEBRA | 2019年 / 535卷

关键词：

Internal groupoid; Snail lemma; Fibration; Snake lemma; BUTTERFLIES; FIBRATIONS; CATEGORIES; FRACTIONS;

D O I：

10.1016/j.jalgebra.2019.06.023

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish a generalized form both of the Gabriel-Zisman exact sequence associated with a pointed functor between pointed groupoids, and of the Brown exact sequence associated with a fibration of pointed groupoids. Our generalization consists in replacing pointed groupoids with groupoids internal to a pointed regular category with reflexive coequalizers. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：1 / 34

页数：34

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