A new proof of the Ahlfors five islands theorem |
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Authors: | Walter Bergweiler |
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Affiliation: | 1. Mathematisches Seminar, Christian-Albrechts-Universit?t zu Kiel, Ludewig-Meyn-Str. 4, D-24098, Kiel, Germany
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Abstract: | We deduce the Ahlfors five islands theorem from a corresponding result of Nevanlinna concerning perfectly branched values, a rescaling lemma for non-normal families and an existence theorem for quasiconformal mappings. We also give a proof of Nevanlinna’s result based on the rescaling lemma and a version of Schwarz’s lemma. |
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