The universal continuous six functor formalism on light condensed anima

2025/11/22 by He, Li
Mathematics · #Advanced Topology and Set Theory #Homotopy and Cohomology in Algebraic Topology #Advanced Operator Algebra Research

paper · doi:10.48550/arxiv.2511.17944

Abstract

After the universal property of the six functor formalism \Shv(-;\Sp) on locally compact Hausdorff spaces given by Zhu, we show that the six functor formalism \Shv(-;\Sp) on light condensed anima in the sense of Heyer-Mann is initial among all six functor formalisms D satisfying some mild conditions, and then we present some applications.

Citations

• Six-Functor Formalisms
• Higher presentable categories and limits
• Continuous six-functor formalism on locally compact Hausdorff spaces
• Duality and linearization for p-adic lie groups
• 6-Functor Formalisms and Smooth Representations
• A p-Adic 6-Functor Formalism in Rigid-Analytic Geometry

Related

• Continuous six-functor formalism on locally compact Hausdorff spaces
• Six-Functor Formalisms II : The ∞-categorical compactification
• Six-Functor Formalisms III: The construction and extension of 6FFs
• The six operations in topology
• Six-Functor Formalisms