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Stein spaces and Stein algebras

Volume 73 / 2025

Olivier Benoist Bulletin Polish Acad. Sci. Math. 73 (2025), 183-190 MSC: Primary 32E10; Secondary 32Q56 DOI: 10.4064/ba260107-1-3 Published online: 4 March 2026

Abstract

We prove that the category of Stein spaces and holomorphic maps is anti-equivalent to the category of Stein algebras and $\mathbb C$-algebra morphisms. This removes a finite-dimensionality hypothesis from a theorem of Forster.

Authors

  • Olivier BenoistDépartement de mathématiques et applications
    École normale supérieure, CNRS
    75230 Paris, France
    e-mail

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