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圆周上逆极限可扩的连续自映射
引用本文:何连法,王在洪.圆周上逆极限可扩的连续自映射[J].数学学报,1996,39(3):404-410.
作者姓名:何连法  王在洪
作者单位:河北师范大学数学系
摘    要:本文研究了圆周上一类自映射f的正向可扩性与其道极限的可扩性间的联系,得出圆周上的连续满射f的逆极限可扩等价于f拓扑共轭于扩张映射.

关 键 词:逆极限,正向可扩映射,可扩同胚,扩张映射
收稿时间:1994-1-15
修稿时间:1995-5-18

Continuous Self-maps with Expansive Inverse Limits on a Circle
He Lianfa,Wang Zaihong.Continuous Self-maps with Expansive Inverse Limits on a Circle[J].Acta Mathematica Sinica,1996,39(3):404-410.
Authors:He Lianfa  Wang Zaihong
Institution:He Lianfa;Wang Zaihong(Department of Mathematics, Hebei Normal University, Shijiazhuang 050016, China)
Abstract:In this paper, we study the relationship between the positive expansiveness of a kind of self-maps on a circle and the expansiveness of their inverse limits, and obtain that, for every surjective continuous map f,the inverse limit of f is expansive if and only if f is topologically conjugate to an expanding map.
Keywords:inverse limit  positively expansive map  expansive homeomorphism  expanding map
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