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
;G. Metere
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.File in questo prodotto:
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