2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65656It is well known that a compact two dimensional surface is homeomorphic to a polygon with the edges identified in pairs. This paper not only presents a new proof of this statement but also generalizes it for any connected n-dimensional stellar manifold with a finite number of vertices.General Mathematics57Q15; 57M40; 57N12On a stellar structure for a stellar manifoldtext