6533b871fe1ef96bd12d11bf
RESEARCH PRODUCT
On Pseudofunctors Sending Groups to 2-Groups
Alan S. CigoliSandra MantovaniGiuseppe Meteresubject
Settore MAT/02 - AlgebraGeneral MathematicsMathematics::Category TheoryFOS: Mathematicsinternal groupsMathematics - Category TheoryCategory Theory (math.CT)2-groupsPseudofunctorSettore MAT/04 - Matematiche Complementari2-groups; internal groups; monoidal opfibration; Pseudofunctor18A40 18C40 18D30 18G45 18M05monoidal opfibrationdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2023-01-01 |