On the connectivity of the Julia set of a finitely generated rational semigroup

被引：7

作者：

Sun, YS ^{[1
]}

Yang, CC ^{[1
]}

机构：

[1] Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Hong Kong, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2002年 / 130卷 / 01期

关键词：

connectivity; Julia set; rational semigroup;

D O I：

10.1090/S0002-9939-01-06097-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we show that the Julia set J(G) of a finitely generated rational semigroup G is connected if the union of the Julia sets of generators is contained in a subcontinuum of J(G). Under a nonseparating condition, we prove that the Julia set of a finitely generated polynomial semigroup is connected if its postcritical set is bounded.

引用

页码：49 / 52

页数：4