Theorem 3 X is a bornologic space if and only if every uniformly bounded set of linear operators from X to Y is equicontinuous.

定理3 X是囿空间的充要条件为：每个从X到Y的一致有界的线性算子族都是等度连续的。

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We characterize almost periodicity with equicontinuity, and prove that if the group is uniform equicontinuous then it is topologically equivalent to an isometric one.

本文对一致空间上的群作用，用等度连续性刻画了几乎周期的性质，并且论证了一致等度连续的群作用拓扑等价于一等距的群作用。

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In this paper, the following two properties of compact system be proved; (1) a factor of a minimal system is minimal; (2) a factor of an equicontinuous system is equicontinuous system.

证明了紧致系统的2个性质：1极小系统的因子是极小的；2等度连续系统的因子是等度连续的。

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