2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61649We prove that a biseparating map between spaces of vector-valued continuous functions is usually automatically continuous. However, we also discuss special cases when it is not true.8 pages; no figuresFunctional Analysis47B33 (Primary) 46H40, 47B38, 46E40, 46E25 (Secondary)text