2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63774We prove that if $T: X \to X$ is a selfmap of a set $X$ such that $\bigcap \{T^{n}X: n\in N}\}$ is a one-point set, then the set $X$ can be endowed with a compact Hausdorff topology so that $T$ is continuous.5 pagesGeneral Topology54H20, 54H25text