Axiom A maps are dense in the space of unimodal maps in the Ck topology

• 成果类型: Article
• 署名作者: Kozlovski, OS
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2003.157.1
• 发表日期: 2003
• 页码: 1-43
• 关键词: dynamics; POLYNOMIALS; mappings; set

摘要

In this paper we prove C-k structural stability conjecture for unimodal maps. In other words, we shall prove that Axiom A maps are dense in the space of C-k unimodal maps in the C-k topology. Here k can be 1, 2...., infinity,omega.