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Preprint . 2024
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Stone duality between condensed mathematics and algebraic geometry

descriptionPublicationkeyboard_double_arrow_right Preprint 04 Jan 2024
Authors: Gregoric, Rok;

arXiv: 2401.02568

Stone duality between condensed mathematics and algebraic geometry

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.

Comment: 36 pages

Keywords

Mathematics - Algebraic Geometry, 14A20, 18F70, 54B30, Mathematics - Algebraic Topology, Mathematics - General Topology

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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