In mathematical knot theory, the Hopf link is the simplest nontrivial link made of more than one component, consisting of two circles linked together exactly once, and it is named after the mathematician Heinz Hopf. A concrete model places two circles of the same size in perpendicular planes so that each circle passes through the center of the other, a configuration that minimizes the link's ropelength, the shortest length of rope needed to tie it while keeping the rope's thickness fixed. Until 2002, the Hopf link was the only link whose exact ropelength value was known.
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1. Hopf Link (Wikipedia)
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In mathematical knot theory, the Hopf link is the simplest nontrivial link with more than one component.
Lead
The Hopf link is named after topologist Heinz Hopf, who considered it in 1931 as part of his research on the Hopf fibration.
In Branch: Knot Theory, Lead sentence
In mathematical knot theory, the Hopf link is the simplest nontrivial link with more than one component.
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