9 citations · 13 across the 9 of their papers we have counts for
5 papers · 1 filter
Clifford semigroups and the monoidal Grothendieck construction
Elena Caviglia, Peter F. Faul, Graham Manuell +1
We show that the monoidal Grothendieck construction can be applied to recover the known structure theorem for Clifford monoids, which states that they correspond to functors from a…
Bicategories of Lax Fractions
Graham Manuell, Lurdes Sousa
The well-known calculus of fractions of Gabriel and Zisman provides a convenient way to formally invert morphisms in a category. This was generalised to bicategories by Pronk. We e…
Artin glueings of toposes as adjoint split extensions
Peter F. Faul, Graham Manuell, José Siqueira
Artin glueings of frames correspond to adjoint split extensions in the category of frames and finite-meet-preserving maps. We extend these ideas to the setting of toposes and show…
2-dimensional bifunctor theorems and distributive laws
Peter F. Faul, Graham Manuell, Jose Siqueira
In this paper we consider the conditions that need to be satisfied by two families of pseudofunctors with a common codomain for them to be collated into a bifunctor. We observe sim…
Artin glueings of frames as semidirect products
Peter F. Faul, Graham R. Manuell
Artin glueings provide a way to reconstruct a frame from a closed sublocale and its open complement. We show that Artin glueings can be described as the weakly Schreier split exten…