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 (15[1])compact (15[1])when working in a 3-sphere. (15[1]-5[1])Tame examples of these (15[1])objects (15[1])can be (15[1])“framed” by a solid torus. (15[1])Reidemeister (15[1])moves (15[7])leave (15[4]-5[1])invariant (15[7])a quantity (15[3])describing (15[1])these objects (15[2])that is built (15[1])recursively from skein relations and named after six (-5[1])mathematicians. (15[1])The HOMFLY, (15[1])(*) Alexander, and Jones (-5[1])polynomials (10[1])describe these objects. (10[3])Links are unions of these objects, which are composed (-5[1])of (-5[1])tangles. (10[2]-5[1])Prefixing (10[2])the (10[1])name (10[2])of these objects (10[1])with “un-” gives their simplest case, which has (10[1])fewer crossings than the trefoil (10[1])and figure-eight examples. (10[2])For (10[1])10 points, name these embeddings in space (10[1])of a tied string. ■END■ (10[7]0[2])