KNOTS ARE DETERMINED BY THEIR COMPLEMENTS
KNOTS ARE DETERMINED BY THEIR COMPLEMENTS
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DOI：
10.1090/s0273-0979-1989-15706-6
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发表时间：
1989-01-01
影响因子：
1.3
通讯作者：
LUECKE, J
中科院分区：
文献类型：
--
作者：
GORDON, CM;LUECKE, J
如果存在同胚 h: S3-5 S3 使得 h (K)= K'，则 S3 中的两个（光滑或 PL）结 K 和 K' 是等价的。这意味着它们的补集 S3-K 和 S3-K' 是同构的。这里我们证明逆推论。
Two (smooth or PL) knots K and K'in S3 are equivalent if there exists a homeomorphism h: S3-5 S3 such that h (K)= K'. This implies that their complements S3-K and S3-K'are homeomorphic. Here we prove the converse implication.