In this paper we propose a definition of a distance between flows of possibly different metric spaces. This notion is then combined with the concept of topologically stable flow to obtain the notion of \(\sigma \)-topologically GH-stable flow. Afterwards, we prove that an expansive flow of a compact metric space, with the pseudo-orbit tracing property, and without singularities is \(\sigma \)-topologically GH-stable.

中文翻译：

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从Gromov–Hausdorff角度看流动的拓扑稳定性

在本文中，我们提出了可能不同度量空间的流之间距离的定义。这个概念然后用拓扑稳定流的概念来获得的概念组合\（\西格玛\） -topologically GH -stable流动。然后，我们证明了紧致度量空间的膨胀流，与所述伪轨跟踪性质，并且没有奇异点是\（\西格玛\） -topologically GH -stable。