3 papers
math.CT2025
On fibred products of toposes
Léo Bartoli, Olivia Caramello
In the setting of relative topos theory, we show that the pullback of a relative presheaf topos on an arbitrary fibration is the relative presheaf topos on its inverse image. To th…
math.CT2025
Local fibrations and morphisms of relative toposes
Léo Bartoli, Olivia Caramello
We introduce the notion of local fibration, a generalization of the notion of fibration which takes into account the presence of Grothendieck topologies on the two categories, and…
math.AG2023
On morphisms of relative toposes
Léo Bartoli, Olivia Caramello
We systematically investigate the functors between sites which induce morphisms of relative toposes. In particualar, we establish a relative version of Diaconescu's theorem, charac…