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Paper detail

On pseudofunctors sending groups to 2-groups

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.

preprint2022arXivOpen access
Alan S. CigoliSandra MantovaniGiuseppe Metere
math.CT
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Alan S. CigoliSandra MantovaniGiuseppe Metere

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