BraidComponents

The number of components in a braid's closure — the cycle count of its BraidPermutation.

BraidComponents(braid)the cycle count of the closure's permutation

Typed signatures

Type	Package	Applies
(expression<Braid> | string) -> integer	braid	always

Domain: Braids and knots

Examples

Basic #

The closure of $\sigma_1$ in $B_3$ is a two-component link

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In$\mathrm{BraidComponents}(\mathrm{Braid}(3, \bigl\lbrack1\bigr\rbrack))$Out$2$

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Examples	1

See also: BraidPermutation, BraidIsKnot