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Stone duality between condensed mathematics and algebraic geometry

Published 4 Jan 2024 in math.AG, math.AT, and math.GN | (2401.02568v1)

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.

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