Profinite Cosheaves Valued in Pro-regular Categories

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Jiacheng Tang
DOI: 10.48550/arxiv.2602.09974
Cited by: 0

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.

Fields of Study & Subjects

Homotopy and Cohomology in Algebraic Topology Advanced Topology and Set Theory Algebraic structures and combinatorial models

Publication details

Journal / source
arXiv (Cornell University)
Publication date
10 February 2026
Language
EN
Document type
Preprint