摘要
本文给出了康托型集的定义并且证明了任一疏朗完全集是一个康托型集,此外我们还给出了疏朗完全集的势为x的一个新的证明。
In this note we gave the definition of Cantor-type sets and proved that every nowhere dense perfect set is a Cantor-type set. Moreover we gave a new proof for each nonempty perfect set to have the power x.