关于完全有界度量集的极限状态的一个注

A remark on limiting case of totally bounded metric set

证明了一完全有界度量集合在Hausdorff距离之下的极限仍是完全有界集,给出了一个应用本文结果的具体例子。

In this paper, we present that the limit of a totally bounded metric set sequence isalso totally bounded in the hausdorff metric. Then, we give an example to illustrate our result.