NOTE ON CROSSING CHANGES
NOTE ON CROSSING CHANGES
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交叉变更注意事项
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
S. Baader
中科院分区：
文献类型：
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作者：
S. Baader
对于任意一对戈地距离为2的结点，我们在这两个结点之间构造一个无限的结点族，也就是说，它们与给定的两个结点只相差一个交叉变化。特别地，我们证明了每个解结2的结都可以通过解结1的无穷多个不同的结来解结。
For any pair of knots of Gordian distance two, we construct an infinite family of knots which are ‘between’ these two knots, that is, which differ from the given two knots by one crossing change. In particular, we prove that every knot of unknotting number two can be unknotted via infinitely many different knots of unknotting number one.