  In [Jo14] and [Jo18] Vaughan Jones introduced a construction which yields
oriented knots and links from elements of the oriented Thompson group
$\vec{F}$. In this paper we prove, by analogy with Alexander's classical
theorem establishing that every knot or link can be represented as a closed
braid, that given an oriented knot/link $\vec{L}$, there exists an element $g$
in $\vec{F}$ whose closure $\vec{\mathcal{L}}(g)$ is $\vec L$.
