论文标题
$ \ mathbb {s}^n $的每个可计数紧凑型子集是驯服的
Every countable compact subset of $\mathbb{S}^n$ is tame
论文作者
论文摘要
我们证明,$ \ mathbb {s}^n,n \ geq 2 $的任何两个可计数的,紧凑的子集也具有同型词。因此,像Antoine的经典结构这样的任何野生子空间都必须包含一个Cantor套件。
We prove that any two countable, compact, subsets of $\mathbb{S}^n, n\geq 2$ that are homeomorphic also have homeomorphic complements. Thus any wild subspace like the classical construction of Antoine must contain a Cantor set.