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Stein domains in Banach algebraic geometry

Bambozzi, Federico ; Ben-Bassat, Oren ; Kremnizer, Kobi


In this article we give a homological characterization of the topology of Stein spaces over any valued base field. In particular, when working over the field of complex numbers, we obtain a characterization of the usual Euclidean (transcendental) topology of complex analytic spaces. For non-Archimedean base fields the topology we characterize coincides with the topology of the Berkovich analytic ...


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