2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76817We show that a projective triangulation of a subcomplex of a polyhedral complex can be extended to the whole complex. As a result, we show that the weak semistable reduction result of Abramovich - Karu alg-geom/9707012 can be refined, so that the resulting morphism is semistable in codimension 1.8 pagesAlgebraic GeometryCombinatorics14M25; 14D99text