论文标题
新标准和布鲁尼亚链接的构造
New criteria and constructions of Brunnian links
论文作者
论文摘要
我们提出了两种实用且广泛适用的方法，包括一些标准和一个一般程序，用于检测链接的布鲁尼亚特性，如果已知每个组件都没有结节。这些方法基于观察和手工。它们已成功用于迄今已知的所有Brunnian链接。典型的例子和广泛的实验说明了它们的效率。作为一种应用，创建了无限链接的无限家庭，我们建立了一种批量构建新的链接的一般方法
We present two practical and widely applicable methods, including some criteria and a general procedure, for detecting Brunnian property of a link, if each component is known to be unknot. The methods are based on observation and handwork. They are used successfully for all Brunnian links known so far. Typical examples and extensive experiments illustrate their efficiency. As an application, infinite families of Brunnian links are created, and we establish a general way to construct new ones in bulk
