A sharp necessary condition for rectifiable curves in metric spaces
A sharp necessary condition for rectifiable curves in metric spaces
In his 1990 Inventiones paper, P. Jones characterized subsets of rectifiable curves in the plane, using a multiscale sum of what is now known as Jones \beta -numbers, numbers measuring flatness in a given scale and location. This work was generalized to \mathbb R^n by Okikiolu, to Hilbert space by …