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Necessary and sufficient conditions for the conjugacy of Smale regular homeomorphisms
Sbornik: Mathematics ( IF 0.8 ) Pub Date : 2021-03-08 , DOI: 10.1070/sm9244
E. V. Zhuzhoma 1 , V. S. Medvedev 1
Affiliation  

The class of Smale regular homeomorphisms of closed topological manifolds, with nonwandering set consisting of a finite number of periodic orbits of hyperbolic type, is considered. This class contains the Morse-Smale diffeomorphisms of smooth closed manifolds. For two Smale regular homomorphisms necessary and sufficient conditions for being conjugate are presented.

Bibliography: 26 titles.



中文翻译:

Smale正则同胚共轭的充要条件

考虑了封闭拓扑流形的 Smale 正则同胚类,其非游荡集由有限数量的双曲型周期轨道组成。此类包含平滑闭合流形的 Morse-Smale 微分同胚。给出了两个 Smale 正则同态共轭的充分必要条件。

参考书目:26 个标题。

更新日期:2021-03-08
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