凝聚数学与代数几何之间的Stone对偶
Stone duality between condensed mathematics and algebraic geometry
AI总结：
本文将Stone对偶扩展为凝聚集到任意域上fpqc层的全忠实嵌入，保持余极限与有限极限，并研究了凝聚数学/拓扑与代数几何中熟悉概念在该对偶下的对应关系。
摘要：
我们将Stone对偶扩展为凝聚集到任意域上fpqc层的全忠实嵌入，该嵌入保持余极限和有限极限。我们研究在这种Stone对偶形式下，凝聚数学/拓扑与代数几何中的熟悉概念如何相互对应。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
