For a category B with finite products, we first characterize pseudofunctors from B to Cat whose associated opfibration is Cartesian monoidal. Among those, we then characterize the ones which extend to pseudofunctors from internal groups to 2-groups. If B is additive, this is the case precisely when the associated opfibration has groupoidal fibres.

On Pseudofunctors Sending Groups to 2-Groups / A.S. Cigoli, S. Mantovani, G. Metere. - In: MEDITERRANEAN JOURNAL OF MATHEMATICS. - ISSN 1660-5446. - 20:1(2023), pp. 17.1-17.25. [10.1007/s00009-022-02220-1]

On Pseudofunctors Sending Groups to 2-Groups

S. Mantovani
Secondo
;
2023

Abstract

For a category B with finite products, we first characterize pseudofunctors from B to Cat whose associated opfibration is Cartesian monoidal. Among those, we then characterize the ones which extend to pseudofunctors from internal groups to 2-groups. If B is additive, this is the case precisely when the associated opfibration has groupoidal fibres.
2-groups; internal groups; monoidal opfibration; Pseudofunctor
Settore MAT/02 - Algebra
Settore MAT/04 - Matematiche Complementari
dic-2022
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/949416
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