English

An internal description of constructible objects in an $\infty$-topos

Category Theory 2025-10-30 v1 Algebraic Topology

Abstract

We give an internal description of constructible objects in an \infty-topos. More precisely, PP-consctructible objects are locally constant objects internal to Fun(PP,An), for any noetherian poset PP.

Cite

@article{arxiv.2510.25248,
  title  = {An internal description of constructible objects in an $\infty$-topos},
  author = {Li He},
  journal= {arXiv preprint arXiv:2510.25248},
  year   = {2025}
}

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R2 v1 2026-07-01T07:11:15.080Z