Every one of these objects can be uniquely decomposed into primes by Schubert’s theorem. Gordon and Leucke proved a theorem about determining one of these objects from their complement, which is compact when working in a 3-sphere. Tame examples of these objects can be “framed” by a solid torus. Reidemeister moves leave invariant a quantity describing these objects that is built recursively from skein relations and named after six mathematicians. The HOMFLY, (*) Alexander, and Jones polynomials describe these objects. Links are unions of these objects, which are composed of tangles. Prefixing the name of these objects with “un-” gives their simplest case, which has fewer crossings than the trefoil and figure-eight examples. For 10 points, name these embeddings in space of a tied string. ■END■
ANSWER: knots [accept links until read]
<JC, Other Science - Math>
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