Local connectivity of the Julia set of real polynomials

• 成果类型: Article
• 署名作者: Levin, G; Van Strien, S
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.2307/120958
• 发表日期: 1998
• 页码: 471-541
• 关键词: s-unimodal maps; induced expansion; DYNAMICS

摘要

In this paper we shall show that the Julia set of real polynomials of the form f(z) = z(l) + c(1) with l an even integer and c(1) real is either totally disconnected or locally connected. This answers a question of J. Milnor.