关于打结导线产生的磁场的Ulam问题
A problem of Ulam about magnetic fields generated by knotted wires
摘要：
在由导线产生的磁场的背景下，我们研究导线的拓扑结构和磁力线的拓扑结构之间的连接。我们表明，一个通用的打结线具有相同的结类型的磁力线，但任何一对结有一个线同位素的第一个结有一个磁力线同位素的第二个。这些问题可以追溯到1935年的乌拉姆。
英文摘要：
In the context of magnetic fields generated by wires, we study the connection between the topology of the wire and the topology of the magnetic lines. We show that a generic knotted wire has a magnetic line of the same knot type, but that given any pair of knots there is a wire isotopic to the first knot having a magnetic line isotopic to the second. These questions can be traced back to Ulam in 1935.
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