• Corpus ID: 235790470

# Relative topos theory via stacks

@inproceedings{Caramello2021RelativeTT,
title={Relative topos theory via stacks},
author={Olivia Caramello and Riccardo Zanfa},
year={2021}
}
• Published 9 July 2021
• Mathematics
We introduce new foundations for relative topos theory based on stacks. One of the central results in our theory is an adjunction between the category of toposes over the topos of sheaves on a given site $({\mathcal{C}}, J)$ and that of ${\mathcal{C}}$-indexed categories. This represents a wide generalization of the classical adjunction between presheaves on a topological space and bundles over it, and allows one to interpret several constructions on sheaves and stacks in a geometrical way; in…