3 papers
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…
math.AG2016
Theorems A and B for dagger quasi-Stein spaces
Federico Bambozzi
In this article we use the homological methods of the theory of quasi-abelian categories and some results from functional analysis to prove Theorems A and B for (a broad sub-class…