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Continuity of Julia sets
Authors:Wu Shengjian
Institution:(1) School of Mathematical Sciences, Peking University, 100871 Beijing, China
Abstract:A sufficient and necessary condition is given for the continuity of Julia sets in the space of all rational maps with degreek>1. Project supported by the National Natural Science Foundation of China (Grant No. 19871002).
Keywords:analytic family  rational map  Julia set
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