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math.AG2022
Banach halos and short isometries
Tomoki Mihara, Frédéric Paugam
The aim of this article is twofold. First, we develop the notion of a Banach halo, similar to that of a Banach ring, except that the usual triangular inequality is replaced by the…
math.AG2021
Derived Analytic Geometry for Z-Valued Functions. Part I -- Topological Properties
Federico Bambozzi, Tomoki Mihara
We study the Banach algebras of continuous functions from a compact Hausdorff topological space to a Banach ring whose topology is discrete. We prove that t…
math.AG2021
Homotopy Epimorphisms and Derived Tate's Acyclicity for Commutative C*-algebras
Federico Bambozzi, Tomoki Mihara
We study homotopy epimorphisms and covers formulated in terms of derived Tate's acyclicity for commutative C*-algebras and their non-Archimedean counterparts. We prove that a homot…