2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67022Withdrawn paper because the results are recycled in several other papers and a new definition of T-homotopy is proposed in math.AT/0505152.See math.AT/0505152Algebraic TopologyCategory Theory55P99; 68Q85Homotopy branching space and weak dihomotopytext