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arXiv · 2112.08695

On pseudofunctors sending groups to 2-groups

Alan S. Cigoli·Sandra Mantovani·Giuseppe Metere
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Abstract

For a category B with finite products, we first characterize pseudofunctors from B to Cat whose corresponding 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 corresponding opfibration has groupoidal fibres.

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Alan S. Cigoli, Sandra Mantovani, Giuseppe Metere. 2021-12-16. On pseudofunctors sending groups to 2-groups. https://arxiv.org/abs/2112.08695

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