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Behnke-Stein theorem on complex spaces with singularities
Published online by Cambridge University Press: 22 January 2016
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Let X be a non-compact Riemann surface and D ⊂ X an open subset. By a classical result due to Behnke and Stein [2] D is Runge in X (i.e. the restriction map has dense image) iff X\D has no compact connected components. In other words the obstruction to holomorphic approximation is purely topological. This result has been generalized to 1-dimensional Stein spaces by Mihalache in [11].
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1995
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