Profinite Cosheaves Valued in Pro-regular Categories
arXiv:2602.09974
Abstract
We prove that the category of profinite cosheaves valued in a pro-regular category (satisfying mild assumptions) is itself canonically a pro-completion. As a corollary, we extend Wilkes's cosheaf-bundle equivalence from profinite modules to profinite groups.
12 pages, v2: corrected proof of main theorem