Abstract
The famous Riemann mapping theorem asserts that a simple connected Riemann surface is biholomorphically equivalent to the Riemann sphere ℙ1, the complex plane ℂ or the unit disc ℂ(1). No equivalent theorem exists in several variables. Already Poincaré observed that the unit ball and the polydisc are not biholomorphically equivalent. Hence purely topological means will not suffice to classify complex manifolds. Here an exhaustion is used.
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© 1984 Birkhäuser Boston, Inc.
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Stoll, W. (1984). The Characterization of Strictly Parabolic Spaces. In: Kohn, J.J., Remmert, R., Lu, QK., Siu, YT. (eds) Several Complex Variables. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-5296-2_10
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DOI: https://doi.org/10.1007/978-1-4612-5296-2_10
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-3189-5
Online ISBN: 978-1-4612-5296-2
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