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拓扑 >> 点集拓扑
Questions in category: 点集拓扑 (General Topology).

[Thm]任意两个可数的度量空间, 如果没有孤立点的话, 则一定是同胚的.

Posted by haifeng on 2015-04-24 11:09:21 last update 2015-04-24 11:15:32 | Answers (0) | 收藏



定理[Serpinski]. 任意两个可数的度量空间, 如果没有孤立点的话, 则一定是同胚的.

 

 

References:

http://math.stackexchange.com/questions/72143/is-there-a-countable-regular-space-with-no-isolated-points-which-is-not-homeomo