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math.AT2026
Condensed Brown Comenetz Duality
Roey Hel-Or, Amos Kaminski
We construct an involutive duality on condensed spectra with locally compact homotopy groups, extending classical Pontryagin duality. We prove that dualization induces Pontryagin d…
math.AT2026
Local structure of smooth \texorpdfstring{}{p}-adic analytic Artin stacks
Amos Kaminski
We prove \cite[Conjecture~5.17]{Clausen} on the local light--profinite structure of smooth -adic analytic Artin stacks. The argument proceeds in several reductions. First, by pr…
math.AT2024
Derived Stone Embedding
Amos Kaminski
A classical result, the Stone embedding, characterizes profinite sets as totally disconnected, compact Hausdorff spaces. Building on "Pyknotic objects, I. Basic notions", which int…