Crosscap number and knot projections

Crosscap number and knot projections
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横盖数量和结投影

DOI:
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发表时间:
2018
影响因子:
0.6
通讯作者:
Yusuke Takimura
Yusuke Takimura
中科院分区:
数学4区
文献类型:
--
作者:
N. Ito;Yusuke Takimura

文献摘要

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我们引入了一种解结类型的结投影数量,它给出了横帽结数量的上限。我们确定了未打结类型数量最多为 2 的结投影集,并且该结果暗示了确定交叉帽数量最多为 2 的交替结集的经典结果和新结果。
We introduce an unknotting-type number of knot projections that gives an upper bound of the crosscap number of knots. We determine the set of knot projections with the unknotting-type number at most two, and this result implies classical and new results that determine the set of alternating knots with the crosscap number at most two.