度量空间连续映射的等价条件

Equivalent Conditions of Continuous Mapping in Metric Space

在度量空间中,对连续映射概念和连续映射等价条件的证明做了命题化描述,对度量空间中连续映射的等价条件的证明过程进行了改进,改进后的证明更加清晰,更能明确反映等价条件证明所需要的相关知识,有助于加深对连续映射的理解.

It has described the related concepts of continuous mapping and the equivalent conditions of continuous mapping in a metric space by proposition, and the proof of equivalent conditions of continuous mapping is improved. The more clearly improved proof is helpful for understanding of equivalent conditions of continuous mapping.