Classifying Infinity Topoi via Weighted Limits

Fuente: arXiv
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Main Authors: Di Liberti, Ivan, Meadows, Nicholas
Format: Preprint
Published: 2025
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author Di Liberti, Ivan
Meadows, Nicholas
author_facet Di Liberti, Ivan
Meadows, Nicholas
contents We construct classifying $\infty$-topoi by showing that the $(\infty,2)$-category of topoi has weighted limits. We show that several prestacks of interest have a classifying topos, including the prestack of spectra.
format Preprint
id arxiv_https___arxiv_org_abs_2512_15613
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Classifying Infinity Topoi via Weighted Limits
Di Liberti, Ivan
Meadows, Nicholas
Category Theory
Algebraic Geometry
Algebraic Topology
Logic
18N60 (primary), 18B25, O3G30, 55U40, 14A30
We construct classifying $\infty$-topoi by showing that the $(\infty,2)$-category of topoi has weighted limits. We show that several prestacks of interest have a classifying topos, including the prestack of spectra.
title Classifying Infinity Topoi via Weighted Limits
topic Category Theory
Algebraic Geometry
Algebraic Topology
Logic
18N60 (primary), 18B25, O3G30, 55U40, 14A30
url https://arxiv.org/abs/2512.15613