2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/204640We describe the Seiberg-Witten map for the 4D noncommutative BF theory (NCBF). We establish the existence of a map taking the abelian NCBF into its commutative version, in agreement with the hypothesis that such maps are available for any noncommutative theory with Schwarz type topological sectors.9 pages, no figures,The mapping to all orders is discussed in detailHigh Energy Physics - TheorySeiberg-Witten map for the 4D noncommutative BF theorytext