Necessary and sufficient conditions for the conjugacy of Smale regular homeomorphisms

IF 0.8 4区数学 Q2 MATHEMATICS Sbornik Mathematics Pub Date : 2021-01-01 DOI:10.1070/SM9244

E. Zhuzhoma, V. Medvedev

引用次数: 2

Abstract

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.

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小正则同胚共轭的充分必要条件

研究了一类闭拓扑流形的小正则同胚，其非游走集由有限个双曲型周期轨道组成。该类包含光滑闭流形的morse - small微分同态。对两个小正则同态给出了共轭的充分必要条件。参考书目:26篇。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Sbornik Mathematics 数学-数学

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： The Russian original is rigorously refereed in Russia and the translations are carefully scrutinised and edited by the London Mathematical Society. The journal has always maintained the highest scientific level in a wide area of mathematics with special attention to current developments in: Mathematical analysis Ordinary differential equations Partial differential equations Mathematical physics Geometry Algebra Functional analysis

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