Markov's Theorem

Published by A. A. Markov in 1935, Markov's theorem states that equivalent Braids expressing the same Link are mutually related by successive applications of two types of Markov Moves. Markov's theorem is difficult to apply in practice, so it is difficult to establish the equivalence or nonequivalence of Links having different Braid representations.

See also Braid, Link, Markov Moves