On morphisms of relative toposes
Algebraic Geometry
2023-11-01 v1 Category Theory
Abstract
We systematically investigate the functors between sites which induce morphisms of relative toposes. In particualar, we establish a relative version of Diaconescu's theorem, characterizing the relative geometric morphisms towards a relative sheaf topos in terms of a notion of flat (equivalently, filtered) functor relative to the base topos.
Cite
@article{arxiv.2310.20691,
title = {On morphisms of relative toposes},
author = {Léo Bartoli and Olivia Caramello},
journal= {arXiv preprint arXiv:2310.20691},
year = {2023}
}
Comments
47 pages