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
;
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:
| File | Dimensione | Formato | |
|---|---|---|---|
|
s00009-022-02220-1.pdf
accesso aperto
Tipologia:
Publisher's version/PDF
Dimensione
511.22 kB
Formato
Adobe PDF
|
511.22 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
