Abstract
In this short note we show, by using the\(\tfrac{1}{4}\)-Theorem of Koebe-Bieberbach, that every domain in ℂ is Banach-Stein in the sense of G. Fischer and, as a consequence, a holomorphic fiber bundle over a Stein space whose fiber is an open subset of ℂ is Stein.
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Research partially supported by a Sloan Fellowship and a National Science Foundation Grant.
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Siu, Y.T. All plane domains are Banach-Stein. Manuscripta Math 14, 101–105 (1974). https://doi.org/10.1007/BF01637626
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DOI: https://doi.org/10.1007/BF01637626