周期流的拓扑特征

Pub Date : 2022-10-04 DOI:10.1080/14689367.2022.2130033

Khadija Ben Rejeb

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引用次数: 0

摘要

设为连通n-流形M的同胚的连续流。流G称为周期流，如果：对于一些实s>0。流G的全局截面是M的闭子集K，使得G下的每个轨道正好在一个点上与K相交。本文给出了具有全局截面的周期流的拓扑特征。接下来，我们考虑定义在任何连通n流形M上的周期流，并给出了类似的局部特征。

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A topological characterization of periodic flows

Let be a continuous flow of homeomorphisms of a connected n-manifold M. The flow G is called periodic if: for some real s>0, . A global section for a flow G is a closed subset K of M such that every orbit under G intersects K in exactly one point. In this paper, we give a topological characterization of periodic flows with global sections for . Next, we consider periodic flows defined on any connected n-manifold M, and we give a similar local characterization.

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