自同态逆极限的结构稳定性
Structural stability of the inverse limit of endomorphisms
摘要：
证明了满足公理A和强横截条件的自同态是$C^1$ -逆极限结构稳定的.这些条件被证明是必要和充分的。这一结果被应用于同宿切线开折的研究。这也实现了$C^1$ -逆极限结构稳定覆盖映射的特征。
英文摘要：
We prove that every endomorphism which satisfies Axiom A and the strong transversality conditions is $C^1$-inverse limit structurally stable. These conditions were conjectured to be necessary and sufficient. This result is applied to the study of unfolding of some homoclinic tangencies. This also achieves a characterization of $C^1$-inverse limit structurally stable covering maps.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
