2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/131907This note is intended to be a supplement to the bi-Lipschitz decomposition of Lipschitz maps shown in [Sch]. We show that in the case of 1-Ahlfors-regular sets, the condition of having `Big Pieces of bi-Lipschitz Images' (BPBI) is equivalent to a Carleson condition.4 pages. No figures. Assumes familiarity with previous workMetric GeometryClassical Analysis and ODEs28A75text