双等度连续收敛的拓扑 [数] topology of biequicontinuous convergence
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首先给出F桶空间的概念，然后讨论F桶空间上F等度连续的等价条件。
The definition of Fuzzy barreled space is firstly given, then the equivalent condition of Fuzzy equicontinuity on Fuzzy barreled space is discussed.
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。
Theorem 3 X is a bornologic space if and only if every uniformly bounded set of linear operators from X to Y is equicontinuous.
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。
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.
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