论文标题
降低二
Knot projections with reductivity two
论文作者
论文摘要
打结的还原性是指获得可还原的打结所需的双点的最小数量。考虑剪接的类型和方法（递归或同时或同时或同时进行剪接类型剪接或非隔离类型剪接），我们可以获得四个含有Shimizu降低率的还原性，其中三个是新的。在本文中，我们确定了所有四个定义的打结投影。我们还为一些还原性提供了易于计算的下限。此外，我们详细介绍了每种还原性的特性，并用示例描述了四个还原性之间的关系。
Reductivity of knot projections refers to the minimum number of splices of double points needed to obtain reducible knot projections. Considering the type and method of splicing (Seifert type splice or non-Seifert type splice, recursively or simultaneously), we can obtain four reductivities containing Shimizu's reductivity, three of which are new. In this paper, we determine knot projections with reductivity two for all four of the definitions. We also provide easily calculated lower bounds for some reductivities. Further, we detail properties of each reductivity, and describe relationships among the four reductivities with examples.
