Stone duality between condensed mathematics and algebraic geometry
Algebraic Geometry
2024-01-08 v1 Algebraic Topology
General Topology
Abstract
We extend Stone duality to a fully faithful embedding of condensed sets into fpqc sheaves over an arbitrary field, which preserves colimits and finite limits. We study how familiar notions from condensed mathematics/topology and algebraic geometry correspond to each other under this form of Stone duality.
Cite
@article{arxiv.2401.02568,
title = {Stone duality between condensed mathematics and algebraic geometry},
author = {Rok Gregoric},
journal= {arXiv preprint arXiv:2401.02568},
year = {2024}
}
Comments
36 pages