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.
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页数：25
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