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Abstract
Let f be a rational function of degree d > 1 , and denote by J and F its Julia set and Fatou set, respectively. Then J is always non-empty and compact, and either connected or else has uncountably many connected components. On the other hand, the corresponding Fatou set is either empty or else consists of one, two, or infinitely many connected components – called stable domains or domains of normality. J is called a dendrite, if it is connected and if the Fatou set is non-empty and connected. For standard facts and details the reader is referred to [1],[2],[5]. In this paper we are concerned with the following question:
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