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arXiv · 2602.09974

Profinite Cosheaves Valued in Pro-regular Categories

Jiacheng Tang
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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.

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Jiacheng Tang. 2026-02-10. Profinite Cosheaves Valued in Pro-regular Categories. https://arxiv.org/abs/2602.09974

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