Abstract In this paper, several equivalent conditions are given for any c-expansive map with the shadowing property to be degenerate, including that the derived degree of the space is an integer. We also give a topological characterization of a countable compactum which admits an expansive homeomorphism with the shadowing property.

中文翻译：

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可数致密体的双曲同胚

摘要 本文给出了任何具有退化性质的c-膨胀图的几个等价条件，包括空间的导出度为整数。我们还给出了可数密实体的拓扑特征，该密实体允许具有阴影特性的扩张同胚。