本文论述了集合上的度量、度量空间的性质、度量拓扑、可度量化空间、完备度量空间、及一阶电路中的度量空间。

The measurement in set theory, the properties of Metric Space, measurement Topology, Measurable Space, Perfect Metric Space and its application in first order circuit are explored in this paper.

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本文指出了赋范线性空间上的一些局部凸拓扑的完备性与它的单位球上相应的诱导拓扑的完备性之间的关系。

The relation between the completeness of several local convex topology in normed vector space and that of induction topology of its unit ball was pointed out in this paper.

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