2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/162855We introduce the notion of an ordered face structure. The ordered face structures to many-to-one computads are like positive face structures to positive-to-one computads. This allow us to give an explicit combinatorial description of many-to-one computads in terms of ordered face structures.97 pages; some minor errors correctedCategory Theory18A99text