The polynomial topological complexity of Fatou-Julia sets |
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Authors: | C. T. Chong |
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Affiliation: | (1) Department of Mathematics, National University of Singapore, Kent Ridge, 0511, Singapore |
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Abstract: | We analyze the polynomial topological complexity of Fatou-Julia sets, and show that for Sullivan domains of such sets the complexity is equal to 1 in the case of attracting, superattracting and Siegel domains, while for parabolic domains it is greater than 1. |
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