English

The universal continuous six functor formalism on light condensed anima

Algebraic Topology 2025-11-25 v1 Category Theory

Abstract

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

Cite

@article{arxiv.2511.17944,
  title  = {The universal continuous six functor formalism on light condensed anima},
  author = {Li He},
  journal= {arXiv preprint arXiv:2511.17944},
  year   = {2025}
}

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R2 v1 2026-07-01T07:50:02.139Z