论小订单的可实现性

IF 0.5 3区数学 Q3 MATHEMATICS

Fundamenta Mathematicae Pub Date : 2020-04-02 DOI:10.4064/fm178-4-2022

Ioannis Iakovoglou

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引用次数: 0

摘要

本文研究了有限集合上的偏序能否作为作用于闭流形上的结构稳定微分同态或流的小阶可实现的问题。我们对以下条件可实现的阶进行了分类:1)作用于封闭曲面上的$\Omega$稳定的微分同态2)作用于封闭3流形上的Anosov流3)作用于封闭曲面上的具有平凡吸引子和排斥子的稳定微分同态。

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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On the realisability of Smale orders

In this paper we're considering the question of whether or not a partial order on a finite set is realisable as a Smale order of a structurally stable diffeomorphism or flow acting on a closed manifold. We classify the orders that are realisable by 1) an $\Omega$-stable diffeomorphism acting on a closed surface 2) an Anosov flow on a closed 3-manifold 3) a stable diffeomorphism with trivial attractors and repellers acting on a closed surface.

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来源期刊

Fundamenta Mathematicae 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： FUNDAMENTA MATHEMATICAE concentrates on papers devoted to Set Theory, Mathematical Logic and Foundations of Mathematics, Topology and its Interactions with Algebra, Dynamical Systems.