2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76055Using the game approach to fragmentability, we give new and simpler proofs of the following known results: (a) If the Banach space admits an equivalent Kadec norm, then its weak topology is fragmented by a metric which is stronger than the norm topology. (b) If the Banach space admits an equivalent rotund norm, then its weak topology is fragmented by a metric. (c) If the Banach space is weakly locally uniformly rotund, then its weak topology is fragmented by a metric which is stronger than the norm topology.7 pages, no figures, no tablesFunctional Analysis46B20, 54E99, 54H05text