2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/125930Brin and Squier described how to classify the elements of the group of piecewise linear homeomorphisms of the real line according to conjugacy. We supply a short account of the key step in their classification. The results in this document are unoriginal. The proofs are a little sketchy in places.Dynamical Systems37E05; 57S05text