Profinite Cosheaves Valued in Pro-regular Categories
Category Theory
2026-02-11 v1
Abstract
We prove that the category of profinite cosheaves valued in a pro-regular category (satisfying mild assumptions) is itself a pro-regular category. As a corollary, we extend Wilkes's cosheaf-bundle equivalence from profinite modules to profinite groups.
Cite
@article{arxiv.2602.09974,
title = {Profinite Cosheaves Valued in Pro-regular Categories},
author = {Jiacheng Tang},
journal= {arXiv preprint arXiv:2602.09974},
year = {2026}
}
Comments
12 pages