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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本文给出了2—PM空间的可度量化条件及度量函数、伪度量函数，从而把PM空间上的有关结论推广到2—PM空间上。

This paper gives the metrizable conditions of 2-probabilistic metric space (2-pm space), its distance function and pseudo distance function, thus extends some conclusions of PM-space to 2-pm space.

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本文给出了2—PM空间的可度量化条件及度量函数、伪度量函数，从而把PM空间上的有关结论推广到2—PM空间上。

This paper gives the metrizable conditions of 2-probabilistic metric space (2-pm space), its distance function and pseudo distance function, thus extends some conclusions of PM-space to 2-pm space.

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