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On the connectivity of the Julia set of a finitely generated rational semigroup |
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| Authors: | Yeshun Sun Chung-Chun Yang |
| Institution: | Department of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China ; Department of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China |
| Abstract: | In this paper we show that the Julia set |
| Keywords: | Connectivity Julia set rational semigroup |
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of a finitely generated rational semigroup 
is connected if the union of the Julia sets of generators is contained in a subcontinuum of 
. Under a nonseparating condition, we prove that the Julia set of a finitely generated polynomial semigroup is connected if its postcritical set is bounded.