On Pseudofunctors Sending Groups to 2-Groups

被引：1

作者：

Cigoli, Alan S. S. ^{[1
]}

Mantovani, Sandra ^{[2
]}

Metere, Giuseppe ^{[3
]}

机构：

[1] Univ Torino, Dipartimento Matemat Giuseppe Peano, Via Carlo Alberto 10, I-10123 Turin, Italy

[2] Univ Milan, Dipartimento Matemat Federigo Enriques, Via C Saldini 50, I-20133 Milan, Italy

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

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2023年 / 20卷 / 01期

关键词：

Pseudofunctor; internal groups; 2-groups; monoidal opfibration; BICATEGORIES;

D O I：

10.1007/s00009-022-02220-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a category Bwith finite products, we first characterizepseudofunctors fromBtoCatwhose associated opfibration is Cartesianmonoidal. Among those, we then characterize the ones which extend topseudofunctors from internal groups to 2-groups. IfBis additive, this isthe case precisely when the associated opfibration has groupoidal fibres.

引用

页数：25

共 16 条

[1]

[Anonymous], 2000, THEORY APPL CATEG, V7, P71

[2]

[Anonymous], 2004, Theory and Applications of Categories

[3]

[Anonymous], 1999, CAH TOPOL GEOM DIFFE

[4]

Borceux F., 1994, Handbook of categorical algebra, V2

[5]