一个不是任何连续函数列的极限的函数 |
| |
引用本文: | 冯天长.一个不是任何连续函数列的极限的函数[J].成都大学学报(自然科学版),1990,9(2):44-46. |
| |
作者姓名: | 冯天长 |
| |
摘 要: | 本文借助于度量空间证明了:在R′上不存在收敛于无理数集的特征函数X(x)的连续函数序列{f_m(x)}.
|
关 键 词: | 连续函数列 极限 度量空间 |
On Function That Is Not The Limit of Any Sequence of Continuous Functions |
| |
Abstract: | In this papaer, the following theorem is proved by means of the resultsof metric spaces: There is no sequence {fn(x)} of continuous functions, such that(?) fn(x) = χ(x), (-∞
|
| |
Keywords: | |
本文献已被 CNKI 维普 等数据库收录! |
|