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math.CT2026
Categorical Bass-Serre Theory for Tree Quotients
Jiacheng Tang
We develop a categorical framework for Bass-Serre theory, which recovers parts of classical and profinite Bass-Serre theories for tree quotients. More precisely, we show that in wh…
math.CT2026
Profinite Cosheaves Valued in Pro-regular Categories
Jiacheng Tang
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 W…