2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/137623The scale-invariant spacings lemma due to Arratia, Barbour and Tavar{é} establishes the distributional identity of a self-similar Poisson process and the set of spacings between the points of this process. In this note we connect this result with properties of a certain set of extreme points of the unit Poisson process in the positive quadrant.6 pagesProbability60G70, 60G55text