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.
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页码：1 / 34
页数：34
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