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math.GT2018★ 1 cited
Trunk of Satellite and Companion Knots
Nithin Kavi, Wendy Wu, Zhenkun Li
We study the knot invariant called trunk, as defined by Ozawa, and the relation of the trunk of a satellite knot with the trunk of its companion knot. Our first result is ${\rm tru…
math.GT2018★ 1 cited
Width of the Whitehead double of a nontrivial knot
Zhenkun Li, Qilong Guo
In this paper, we prove that , where is the width of a knot and is the Whitehead double of a nontrivial knot .