Some characteristics of mean sensitivity and Banach mean sensitivity using Furstenberg families and inverse limit dynamical systems are obtained. The iterated invariance of mean sensitivity and Banach mean sensitivity are proved. Applying these results, the notion of mean sensitivity and Banach mean sensitivity is extended to uniform spaces. It is proved that a point-transitive dynamical system in a Hausdorff uniform space is either almost (Banach) mean equicontinuous or (Banach) mean sensitive.

中文翻译：

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均匀空间中的平均灵敏度和平均等连续性

得到了利用Furstenberg族和逆极限动力系统的平均灵敏度和Banach平均灵敏度的一些特征。证明了平均灵敏度和Banach平均灵敏度的迭代不变性。应用这些结果，平均灵敏度和 Banach 平均灵敏度的概念被扩展到均匀空间。证明了Hausdorff均匀空间中的点传递动力系统要么是几乎（Banach）均值等连续的，要么是（Banach）均值敏感的。