2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/165901A minimal subshift $(X,T)$ is linearly recurrent if there exists a constant $K$ so that for each clopen set $U$ generated by a finite word $u$ the return time to $U$, with respect to $T$, is bounded by $K|u|$. We prove that given a linearly recurrent subshift $(X,T)$ the set of its non-periodic subshift factors is finite up to isomorphism. We also give a constructive characterization of these subshifts.Dynamical Systems37B10Linearly recurrent subshifts have a finite number of non-periodic subshift factorstext