Braid

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Possible Answers: PLAIT.

Last seen on: LA Times Crossword 20 Nov 2017, Monday


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Random information on the term “Braid”:

In topology, a branch of mathematics, braid theory is an abstract geometric theory studying the everyday braid concept, and some generalizations. The idea is that braids can be organized into groups, in which the group operation is ‘do the first braid on a set of strings, and then follow it with a second on the twisted strings’.[citation needed] Such groups may be described by explicit presentations, as was shown by Emil Artin (1947). For an elementary treatment along these lines, see the article on braid groups. Braid groups are also understood by a deeper mathematical interpretation: as the fundamental group of certain configuration spaces.

To explain how to reduce a braid group in the sense of Artin to a fundamental group, we consider a connected manifold X of dimension at least 2. The symmetric product of n copies of X means the quotient of Xn, the n-fold Cartesian product of X by the permutation action of the symmetric group on n strands operating on the indices of coordinates. That is, an ordered n-tuple is in the same orbit as any other that is a re-ordered version of it.

Braid on Wikipedia