Universe分解中纽结的孤立性

Isolation of knot in universe resolution

给出了孤立纽结分解的定义,所谓孤立的(非平凡)纽结分解,即在不改变投影的前提下,universe分解中的该纽结改变其任何一个交叉都是平凡纽结。通过分析和讨论各种可能情形,回答了二重点为n(≤5)的素universe分解中是否存在孤立的交叉数为n的非平凡纽结分解的问题。

A definition of an isolated knot resolution is given, i.e. under the fixed projection, unknot will be obtained by changing any crossing of a knot in a universe resolution. By analyzing and discussing all possible cases, the author answers the question whether there is an isolated n crossing knot in a prime n（≤5）double points universe resolution.