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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

A counterexample of Koebe's for slit mappings


Author: Edgar Reich
Journal: Proc. Amer. Math. Soc. 11 (1960), 970-975
MSC: Primary 30.40
MathSciNet review: 0145058
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  • [3] C. Carathéodory, Über die Begrenzung einfach zusammenhängender Gebiete, Math. Ann. 73 (1913), no. 3, 323–370 (German). MR 1511737, http://dx.doi.org/10.1007/BF01456699
  • [4] H. Grötzsch, Das Kreisbogenschlitztheorem der konformen Abbildung schlichter Bereiche, Ber. Verh. Sächs. Akad. Wiss. Leipzig. Math.-Phys. Kl. vol. 83 (1931) pp. 238-253.
  • [5] P. Koebe, Zur konformen Abbildung unendlich-vielfach zusammenhängender Bereiche auf Schlitzbereiche, Nachr. Akad. Wiss. Göttingen. Math.-Phys. Kl. (1918) pp. 60-71.
  • [6] Edgar Reich and S. E. Warschawski, On canonical conformal maps of regions of arbitrary connectivity, Pacific J. Math. 10 (1960), 965–985. MR 0117339 (22 #8120)
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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1960-0145058-7
PII: S 0002-9939(1960)0145058-7
Article copyright: © Copyright 1960 American Mathematical Society