Classifying Infinity Topoi via Weighted Limits
Category Theory
2026-01-29 v2 Algebraic Geometry
Algebraic Topology
Logic
Abstract
We construct classifying -topoi by showing that the -category of topoi has weighted limits. We show that several prestacks of interest have a classifying topos, including the prestack of spectra.
Cite
@article{arxiv.2512.15613,
title = {Classifying Infinity Topoi via Weighted Limits},
author = {Ivan Di Liberti and Nicholas Meadows},
journal= {arXiv preprint arXiv:2512.15613},
year = {2026}
}