Minimally Knotted Spatial Graphs are Totally Knotted

Minimally Knotted Spatial Graphs are Totally Knotted
复制标题

最小打结空间图是完全打结的

DOI:
10.3836/tjm/1244208599
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发表时间:
2003
影响因子:
0.6
通讯作者:
Y. Tsutsumi
Y. Tsutsumi
中科院分区:
数学4区
文献类型:
--
作者:
M. Ozawa;Y. Tsutsumi

文献摘要

被引文献

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应用雅科的柄加法引理,给出了三维流形存在不可压缩边界的一个条件.作为应用,我们证明了极小纽结平面图的外部边界是不可压缩的。
Applying Jaco’s Handle Addition Lemma, we give a condition for a 3-manifold to have an incompressible boundary. As an application, we show that the boundary of the exterior of a minimally knotted planar graph is incompressible.