2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/174047We give a characterisation of fragmentable, compact linearly order spaces. In particular, we show that if $K$ is a compact, fragmentable, linearly ordered space then $K$ is a Radon-Nikodým compact. In addition, we obtain some corollaries in topology and renorming theory.Functional AnalysisGeneral Topology06A05; 54D30; 46B50; 46B26text