关于度量教学的几点注记

A Few Notes about the Teaching of Metric Spaces

该文主要研究度量及与之相关的映射连续性,目的一是构造反例说明一文献中的一个漏洞;二是证明紧度量空间上满足一定条件映射的连续性.

This paper mainly investigates metric spaces and the continuity of mappings on metric spaces,which corrects a gap in literature by constructing a counterexample,and proves a mapping on compact metric spaces satisfying specific conditions is continuous.