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Questions in category: 代数拓扑 (Algebraic Topology).

AHS (Alexander Horned Sphere)

Posted by haifeng on 2022-11-20 08:14:55 last update 2022-11-20 09:34:59 | Answers (0) | 收藏


AHS (Alexander Horned Sphere)

J. W. Alexander 构造了一个单连通曲面, 其(外面)所围区域非单连通. 文章很短, 见 [1].

 

具体的构造如下:

 


References:

[1]  J. W. Alexander, Proceedings of the National Academy of Sciences of the United States of America, Jan. 15, 1924, Vol. 10, No. 1 (Jan. 15, 1924), pp. 8--10.