2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59730In this paper we describe a procedure to simplify any given triangulation of the 3-sphere using Pachner moves. We obtain an explicit exponential-type bound on the number of Pachner moves needed for this process. This leads to a new recognition algorithm for the 3-sphere.27 pages, 18 figuresGeometric Topology57N12;57Q15text