English

The pro-Nisnevich topology

Algebraic Geometry 2024-04-29 v1

Abstract

We construct the pro-Nisnevich topology, an analog of the pro-\'etale topology. We then show that the Nisnevich \infty-topos embeds into the pro-Nisnevich \infty-topos, and that the pro-Nisnevich \infty-topos is locally of homotopy dimension 00.

Cite

@article{arxiv.2404.17314,
  title  = {The pro-Nisnevich topology},
  author = {Klaus Mattis},
  journal= {arXiv preprint arXiv:2404.17314},
  year   = {2024}
}

Comments

10 pages, Comments welcome!

R2 v1 2026-06-28T16:07:34.860Z