On pseudofunctors sending groups to 2-groups
Category Theory
2022-06-03 v2
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.
Cite
@article{arxiv.2112.08695,
title = {On pseudofunctors sending groups to 2-groups},
author = {Alan S. Cigoli and Sandra Mantovani and Giuseppe Metere},
journal= {arXiv preprint arXiv:2112.08695},
year = {2022}
}