对有限覆盖定理的一个补充

A Supplement to Finite Covering Theorem

文章对描述实数连续性的有限覆盖定理的条件进行分析,将给出定理中条件"闭区间"换为"开区间"后,通过修改条件可使结论仍然成立.

This paper analyzes the conditions of finite covering theorem to describe the continuity of real numbers.When open interval replaces the given ＂closed interval＂ in the theorem,the conclusion still holds.Examples will be introduced.